IFYMB002 Mathematics Business Appendix C Formula Booklet

Similar documents
Mathematics HL and Further mathematics HL Formula booklet

INTERNATIONAL BACCALAUREATE ORGANIZATION GROUP 5 MATHEMATICS FORMULAE AND STATISTICAL TABLES

Econometric Methods. Review of Estimation

Mean is only appropriate for interval or ratio scales, not ordinal or nominal.

Functions of Random Variables

Module 7. Lecture 7: Statistical parameter estimation

Chapter Business Statistics: A First Course Fifth Edition. Learning Objectives. Correlation vs. Regression. In this chapter, you learn:

X ε ) = 0, or equivalently, lim

Lecture Notes Types of economic variables

Law of Large Numbers

Special Instructions / Useful Data

UNIVERSITY OF EAST ANGLIA. Main Series UG Examination

Multiple Choice Test. Chapter Adequacy of Models for Regression

b. There appears to be a positive relationship between X and Y; that is, as X increases, so does Y.

Summary of the lecture in Biostatistics

Chapter 5 Properties of a Random Sample

Lecture Notes Forecasting the process of estimating or predicting unknown situations

Can we take the Mysticism Out of the Pearson Coefficient of Linear Correlation?

Lecture 7. Confidence Intervals and Hypothesis Tests in the Simple CLR Model

STA302/1001-Fall 2008 Midterm Test October 21, 2008

Simple Linear Regression

UNIVERSITY OF OSLO DEPARTMENT OF ECONOMICS

Random Variables and Probability Distributions

Parameter, Statistic and Random Samples


Chapter 13 Student Lecture Notes 13-1

MEASURES OF DISPERSION

Module 7: Probability and Statistics

Mu Sequences/Series Solutions National Convention 2014

Linear Regression with One Regressor

Statistics. Correlational. Dr. Ayman Eldeib. Simple Linear Regression and Correlation. SBE 304: Linear Regression & Correlation 1/3/2018

Arithmetic Mean Suppose there is only a finite number N of items in the system of interest. Then the population arithmetic mean is

Chapter 8: Statistical Analysis of Simulated Data

Johns Hopkins University Department of Biostatistics Math Review for Introductory Courses

Johns Hopkins University Department of Biostatistics Math Review for Introductory Courses

Linear Regression. Hsiao-Lung Chan Dept Electrical Engineering Chang Gung University, Taiwan

Simple Linear Regression

Dr. Shalabh. Indian Institute of Technology Kanpur

( ) = ( ) ( ) Chapter 13 Asymptotic Theory and Stochastic Regressors. Stochastic regressors model

Linear Regression. Hsiao-Lung Chan Dept Electrical Engineering Chang Gung University, Taiwan

Correlation and Simple Linear Regression

Objectives of Multiple Regression

Chapter Statistics Background of Regression Analysis

Statistics MINITAB - Lab 5

ESS Line Fitting

Continuous Distributions

1. The weight of six Golden Retrievers is 66, 61, 70, 67, 92 and 66 pounds. The weight of six Labrador Retrievers is 54, 60, 72, 78, 84 and 67.

Multiple Regression. More than 2 variables! Grade on Final. Multiple Regression 11/21/2012. Exam 2 Grades. Exam 2 Re-grades

UNIVERSITY OF OSLO DEPARTMENT OF ECONOMICS

best estimate (mean) for X uncertainty or error in the measurement (systematic, random or statistical) best

hp calculators HP 30S Statistics Averages and Standard Deviations Average and Standard Deviation Practice Finding Averages and Standard Deviations

ENGI 3423 Simple Linear Regression Page 12-01

Chapter 14 Logistic Regression Models

C. Statistics. X = n geometric the n th root of the product of numerical data ln X GM = or ln GM = X 2. X n X 1

Some Applications of the Resampling Methods in Computational Physics

STA 108 Applied Linear Models: Regression Analysis Spring Solution for Homework #1

STK4011 and STK9011 Autumn 2016

STK3100 and STK4100 Autumn 2018

CHAPTER 6. d. With success = observation greater than 10, x = # of successes = 4, and

STK3100 and STK4100 Autumn 2017

Lecture 3. Sampling, sampling distributions, and parameter estimation

means the first term, a2 means the term, etc. Infinite Sequences: follow the same pattern forever.

The expected value of a sum of random variables,, is the sum of the expected values:

12.2 Estimating Model parameters Assumptions: ox and y are related according to the simple linear regression model

Study of Correlation using Bayes Approach under bivariate Distributions

,m = 1,...,n; 2 ; p m (1 p) n m,m = 0,...,n; E[X] = np; n! e λ,n 0; E[X] = λ.

Lecture 2: The Simple Regression Model

Ordinary Least Squares Regression. Simple Regression. Algebra and Assumptions.

Quantitative analysis requires : sound knowledge of chemistry : possibility of interferences WHY do we need to use STATISTICS in Anal. Chem.?

Improving coverage probabilities of confidence intervals in random effects meta-analysis with publication bias

Application of Generating Functions to the Theory of Success Runs

Comparison of Dual to Ratio-Cum-Product Estimators of Population Mean

Probability and. Lecture 13: and Correlation

ρ < 1 be five real numbers. The

: At least two means differ SST

Lecture 3 Probability review (cont d)

Comparison of Parameters of Lognormal Distribution Based On the Classical and Posterior Estimates

Ideal multigrades with trigonometric coefficients

Analysis of Variance with Weibull Data

Multiple Linear Regression Analysis

Chapter Two. An Introduction to Regression ( )

Random Variate Generation ENM 307 SIMULATION. Anadolu Üniversitesi, Endüstri Mühendisliği Bölümü. Yrd. Doç. Dr. Gürkan ÖZTÜRK.

STATISTICAL INFERENCE

Third handout: On the Gini Index

ENGI 4421 Joint Probability Distributions Page Joint Probability Distributions [Navidi sections 2.5 and 2.6; Devore sections

2SLS Estimates ECON In this case, begin with the assumption that E[ i

arxiv: v1 [math.st] 24 Oct 2016

Transforming Numerical Methods Education for the STEM Undergraduate Torque (N-m)

The Mathematics of Portfolio Theory

CHAPTER VI Statistical Analysis of Experimental Data

Confidence Interval Estimations of the Parameter for One Parameter Exponential Distribution

ε. Therefore, the estimate

Some Statistical Inferences on the Records Weibull Distribution Using Shannon Entropy and Renyi Entropy

Introduction to Probability

Part 4b Asymptotic Results for MRR2 using PRESS. Recall that the PRESS statistic is a special type of cross validation procedure (see Allen (1971))

5 Short Proofs of Simplified Stirling s Approximation

Uncertainty, Data, and Judgment

UNIT 7 RANK CORRELATION

Simple Linear Regression - Scalar Form

Marcinkiewicz strong laws for linear statistics of ρ -mixing sequences of random variables

Transcription:

Iteratoal Foudato Year (IFY IFYMB00 Mathematcs Busess Apped C Formula Booklet Related Documet: IFY Mathematcs Busess Syllabus 07/8

IFYMB00 Maths Busess Apped C Formula Booklet Cotets lease ote that the letters gve the headg for each secto refer to the topc of the syllabus to whch the formulae relate. A - Lear Equatos... C - Quadratc Equatos, Iequaltes ad Remader Theorem... D - Bomal Epasos, Sequeces ad Seres...3 E - Idces, Epoetal ad Logarthmc Fuctos...4 F - Trgoometrc Fuctos...4 G & N - Dfferetato ad Further Dfferetato...4 H & O - Itegrato ad Further Itegrato...5 I - Itroducto to Statstcs...6 J - Further robablty ad Set Theory...6 K - Correlato, Lear Regresso ad Tme Seres...7 L - robablty Dstrbutos...7 L - Normal Dstrbuto...8 Normal Dstrbuto Table...9 Bomal Cumulatve Dstrbuto Fucto... 0 07 Norther Cosortum UK Ltd. age of 5

IFYMB00 Maths Busess Apped C Formula Booklet A - Lear Equatos Straght Le y m c, where m s the slope or gradet, ad c s the y -tercept Le through pots 0, y 0, y ad y y 0 0 y y 0 0 C - Quadratc Equatos, Iequaltes ad Remader Theorem Quadratc Formula If a b c 0, the b b 4ac a 0 a 07 Norther Cosortum UK Ltd. age of 5

D - Bomal Epasos, Sequeces ad Seres Bomal Seres Whe s a postve teger, IFYMB00 Maths Busess Apped C Formula Booklet ( a b ( a b a r0 a a r b a b... ab r b r b r C r! r!( r! Arthmetc Seres (A a s the frst term, d s the commo dfferece th term: u a ( d, Sum to terms: S (a ( d Geometrc Seres (G a s the frst term, r s the commo rato th term: u ar Sum to terms: S a( r r a r Sum to fty: S, provded r 07 Norther Cosortum UK Ltd. age 3 of 5

IFYMB00 Maths Busess Apped C Formula Booklet E - Idces, Epoetal ad Logarthmc Fuctos log a log log b b a e l a a F - Trgoometrc Fuctos s cos a b c bc cos A s A s B a b s C c G & N - Dfferetato ad Further Dfferetato f ( e k l df ( f ( d f ( s k k e cos ta f ( cos s cos df ( d Cha Rule: If y s a fucto of u ad u s a fucto of, the dy d dy du. du d roduct Rule: If y uv, where u ad v are fuctos of, the dy d du dv v u d d Quotet Rule: If u y v where u ad v are fuctos of, the du dv v u dy d d d v 07 Norther Cosortum UK Ltd. age 4 of 5

IFYMB00 Maths Busess Apped C Formula Booklet H & O - Itegrato ad Further Itegrato f (, l l a a b a f ( d f ( b k e s cos f ( d e k k cos s Itegrato by parts dv u d uv d Applcatos of tegrato du v d d Area uder a curve: A b a y d 07 Norther Cosortum UK Ltd. age 5 of 5

IFYMB00 Maths Busess Apped C Formula Booklet 07 Norther Cosortum UK Ltd. age 6 of 5 I - Itroducto to Statstcs Measures of average ad spread Ugrouped Data Grouped Data Mea f f Varace f f Stadard Devato f f Chage of org/scale : If ( a k X, the ( a k X X k. J - Further robablty ad Set Theory ( ( ( ( B A B A B A ( ( ( ( ( B A B A B A B A

IFYMB00 Maths Busess Apped C Formula Booklet K - Correlato, Lear Regresso ad Tme Seres For a set of pots, y earso's roduct Momet Correlato Coeffcet sy r, where r s s y Regresso le of y o s y y y ( where s y, y s y y y, s, s y y y L - robablty Dstrbutos X s a radom varable takg values wth X p ad p all E X p Epected Value: ( V ((( X E X E X Varace: Bomal dstrbuto X ~ B, p robablty of ( 0 : ( q X p, p where 0,,,, 0 p, q p Mea: p Varace: pq 07 Norther Cosortum UK Ltd. age 7 of 5

IFYMB00 Maths Busess Apped C Formula Booklet L - Normal Dstrbuto Stadardsed varable Z X 95% cofdece terval.96,.96 07 Norther Cosortum UK Ltd. age 8 of 5

IFYMB00 Maths Busess Apped C Formula Booklet Normal Dstrbuto Table If Z has a ormal dstrbuto wth mea = 0 ad varace =, the table gves the probablty, p that Z s less tha or equal to z. z 0 0.0 0.0 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0 0.5000 0.5040 0.5080 0.50 0.560 0.599 0.539 0.579 0.539 0.5359 0. 0.5398 0.5438 0.5478 0.557 0.5557 0.5596 0.5636 0.5675 0.574 0.5753 0. 0.5793 0.583 0.587 0.590 0.5948 0.5987 0.606 0.6064 0.603 0.64 0.3 0.679 0.67 0.655 0.693 0.633 0.6368 0.6406 0.6443 0.6480 0.657 0.4 0.6554 0.659 0.668 0.6664 0.6700 0.6736 0.677 0.6808 0.6844 0.6879 0.5 0.695 0.6950 0.6985 0.709 0.7054 0.7088 0.73 0.757 0.790 0.74 0.6 0.757 0.79 0.734 0.7357 0.7389 0.74 0.7454 0.7486 0.757 0.7549 0.7 0.7580 0.76 0.764 0.7673 0.7704 0.7734 0.7764 0.7794 0.783 0.785 0.8 0.788 0.790 0.7939 0.7967 0.7995 0.803 0.805 0.8078 0.806 0.833 0.9 0.859 0.886 0.8 0.838 0.864 0.889 0.835 0.8340 0.8365 0.8389.0 0.843 0.8438 0.846 0.8485 0.8508 0.853 0.8554 0.8577 0.8599 0.86. 0.8643 0.8665 0.8686 0.8708 0.879 0.8749 0.8770 0.8790 0.880 0.8830. 0.8849 0.8869 0.8888 0.8907 0.895 0.8944 0.896 0.8980 0.8997 0.905.3 0.903 0.9049 0.9066 0.908 0.9099 0.95 0.93 0.947 0.96 0.977.4 0.99 0.907 0.9 0.936 0.95 0.965 0.979 0.99 0.9306 0.939.5 0.933 0.9345 0.9357 0.9370 0.938 0.9394 0.9406 0.948 0.949 0.944.6 0.945 0.9463 0.9474 0.9484 0.9495 0.9505 0.955 0.955 0.9535 0.9545.7 0.9554 0.9564 0.9573 0.958 0.959 0.9599 0.9608 0.966 0.965 0.9633.8 0.964 0.9649 0.9656 0.9664 0.967 0.9678 0.9686 0.9693 0.9699 0.9706.9 0.973 0.979 0.976 0.973 0.9738 0.9744 0.9750 0.9756 0.976 0.9767.0 0.977 0.9778 0.9783 0.9788 0.9793 0.9798 0.9803 0.9808 0.98 0.987. 0.98 0.986 0.9830 0.9834 0.9838 0.984 0.9846 0.9850 0.9854 0.9857. 0.986 0.9864 0.9868 0.987 0.9875 0.9878 0.988 0.9884 0.9887 0.9890.3 0.9893 0.9896 0.9898 0.990 0.9904 0.9906 0.9909 0.99 0.993 0.996.4 0.998 0.990 0.99 0.995 0.997 0.999 0.993 0.993 0.9934 0.9936.5 0.9938 0.9940 0.994 0.9943 0.9945 0.9946 0.9948 0.9949 0.995 0.995.6 0.9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.996 0.996 0.9963 0.9964.7 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.997 0.997 0.9973 0.9974.8 0.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.998.9 0.998 0.998 0.998 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.9986 3.0 0.9987 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989 0.9989 0.9990 0.9990 3. 0.9990 0.999 0.999 0.999 0.999 0.999 0.999 0.999 0.9993 0.9993 3. 0.9993 0.9993 0.9994 0.9994 0.9994 0.9994 0.9994 0.9995 0.9995 0.9995 3.3 0.9995 0.9995 0.9995 0.9996 0.9996 0.9996 0.9996 0.9996 0.9996 0.9997 3.4 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9998 3.5 0.9998 0.9998 0.9998 0.9998 0.9998 0.9998 0.9998 0.9998 0.9998 0.9998 3.6 0.9998 0.9998 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 3.7 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 3.8 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 3.9.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000 07 Norther Cosortum UK Ltd. age 9 of 5

IFYMB00 Maths Busess Apped C Formula Booklet Bomal Cumulatve Dstrbuto Fucto The table below show the value, where has a bomal dstrbuto wth de ad parameter. p= 0.05 0. 0.5 0. 0.5 0.3 0.35 0.4 0.45 0.5 =5 0.7738 0.5905 0.4437 0.377 0.373 0.68 0.60 0.0778 0.0503 0.033 0.9774 0.985 0.835 0.7373 0.638 0.58 0.484 0.3370 0.56 0.875 0.9988 0.994 0.9734 0.94 0.8965 0.8369 0.7648 0.686 0.593 0.5000 3.0000 0.9995 0.9978 0.9933 0.9844 0.969 0.9460 0.930 0.8688 0.85 4.0000.0000 0.9999 0.9997 0.9990 0.9976 0.9947 0.9898 0.985 0.9688 p= 0.05 0. 0.5 0. 0.5 0.3 0.35 0.4 0.45 0.5 =6 0.735 0.534 0.377 0.6 0.780 0.76 0.0754 0.0467 0.077 0.056 0.967 0.8857 0.7765 0.6554 0.5339 0.40 0.39 0.333 0.636 0.094 0.9978 0.984 0.957 0.90 0.8306 0.7443 0.647 0.5443 0.445 0.3438 3 0.9999 0.9987 0.994 0.9830 0.964 0.995 0.886 0.808 0.7447 0.6563 4.0000 0.9999 0.9996 0.9984 0.9954 0.989 0.9777 0.9590 0.9308 0.8906 5.0000.0000.0000 0.9999 0.9998 0.9993 0.998 0.9959 0.997 0.9844 p= 0.05 0. 0.5 0. 0.5 0.3 0.35 0.4 0.45 0.5 =7 0.6983 0.4783 0.306 0.097 0.335 0.084 0.0490 0.080 0.05 0.0078 0.9556 0.8503 0.766 0.5767 0.4449 0.394 0.338 0.586 0.04 0.065 0.996 0.9743 0.96 0.850 0.7564 0.647 0.533 0.499 0.364 0.66 3 0.9998 0.9973 0.9879 0.9667 0.994 0.8740 0.800 0.70 0.6083 0.5000 4.0000 0.9998 0.9988 0.9953 0.987 0.97 0.9444 0.9037 0.847 0.7734 5.0000.0000 0.9999 0.9996 0.9987 0.996 0.990 0.98 0.9643 0.9375 6.0000.0000.0000.0000 0.9999 0.9998 0.9994 0.9984 0.9963 0.99 p= 0.05 0. 0.5 0. 0.5 0.3 0.35 0.4 0.45 0.5 =8 0.6634 0.4305 0.75 0.678 0.00 0.0576 0.039 0.068 0.0084 0.0039 0.948 0.83 0.657 0.5033 0.367 0.553 0.69 0.064 0.063 0.035 0.994 0.969 0.8948 0.7969 0.6785 0.558 0.478 0.354 0.0 0.445 3 0.9996 0.9950 0.9786 0.9437 0.886 0.8059 0.7064 0.594 0.4770 0.3633 4.0000 0.9996 0.997 0.9896 0.977 0.940 0.8939 0.863 0.7396 0.6367 5.0000.0000 0.9998 0.9988 0.9958 0.9887 0.9747 0.950 0.95 0.8555 6.0000.0000.0000 0.9999 0.9996 0.9987 0.9964 0.995 0.989 0.9648 7.0000.0000.0000.0000.0000 0.9999 0.9998 0.9993 0.9983 0.996 07 Norther Cosortum UK Ltd. age 0 of 5

IFYMB00 Maths Busess Apped C Formula Booklet p= 0.05 0. 0.5 0. 0.5 0.3 0.35 0.4 0.45 0.5 =9 0.630 0.3874 0.36 0.34 0.075 0.0404 0.007 0.00 0.0046 0.000 0.988 0.7748 0.5995 0.436 0.3003 0.960 0. 0.0705 0.0385 0.095 0.996 0.9470 0.859 0.738 0.6007 0.468 0.3373 0.38 0.495 0.0898 3 0.9994 0.997 0.966 0.944 0.8343 0.797 0.6089 0.486 0.364 0.539 4.0000 0.999 0.9944 0.9804 0.95 0.90 0.883 0.7334 0.64 0.5000 5.0000 0.9999 0.9994 0.9969 0.9900 0.9747 0.9464 0.9006 0.834 0.746 6.0000.0000.0000 0.9997 0.9987 0.9957 0.9888 0.9750 0.950 0.90 7.0000.0000.0000.0000 0.9999 0.9996 0.9986 0.996 0.9909 0.9805 8.0000.0000.0000.0000.0000.0000 0.9999 0.9997 0.999 0.9980 p= 0.05 0. 0.5 0. 0.5 0.3 0.35 0.4 0.45 0.5 =0 0.5987 0.3487 0.969 0.074 0.0563 0.08 0.035 0.0060 0.005 0.000 0.939 0.736 0.5443 0.3758 0.440 0.493 0.0860 0.0464 0.033 0.007 0.9885 0.998 0.80 0.6778 0.556 0.388 0.66 0.673 0.0996 0.0547 3 0.9990 0.987 0.9500 0.879 0.7759 0.6496 0.538 0.383 0.660 0.79 4 0.9999 0.9984 0.990 0.967 0.99 0.8497 0.755 0.633 0.5044 0.3770 5.0000 0.9999 0.9986 0.9936 0.9803 0.957 0.905 0.8338 0.7384 0.630 6.0000.0000 0.9999 0.999 0.9965 0.9894 0.9740 0.945 0.8980 0.88 7.0000.0000.0000 0.9999 0.9996 0.9984 0.995 0.9877 0.976 0.9453 8.0000.0000.0000.0000.0000 0.9999 0.9995 0.9983 0.9955 0.9893 9.0000.0000.0000.0000.0000.0000.0000 0.9999 0.9997 0.9990 p= 0.05 0. 0.5 0. 0.5 0.3 0.35 0.4 0.45 0.5 = 0.5404 0.84 0.4 0.0687 0.037 0.038 0.0057 0.00 0.0008 0.000 0.886 0.6590 0.4435 0.749 0.584 0.0850 0.044 0.096 0.0083 0.003 0.9804 0.889 0.7358 0.5583 0.3907 0.58 0.53 0.0834 0.04 0.093 3 0.9978 0.9744 0.9078 0.7946 0.6488 0.495 0.3467 0.53 0.345 0.0730 4 0.9998 0.9957 0.976 0.974 0.844 0.737 0.5833 0.438 0.3044 0.938 5.0000 0.9995 0.9954 0.9806 0.9456 0.88 0.7873 0.665 0.569 0.387 6.0000 0.9999 0.9993 0.996 0.9857 0.964 0.954 0.848 0.7393 0.68 7.0000.0000 0.9999 0.9994 0.997 0.9905 0.9745 0.947 0.8883 0.806 8.0000.0000.0000 0.9999 0.9996 0.9983 0.9944 0.9847 0.9644 0.970 9.0000.0000.0000.0000.0000 0.9998 0.999 0.997 0.99 0.9807 0.0000.0000.0000.0000.0000.0000 0.9999 0.9997 0.9989 0.9968.0000.0000.0000.0000.0000.0000.0000.0000 0.9999 0.9998 07 Norther Cosortum UK Ltd. age of 5

IFYMB00 Maths Busess Apped C Formula Booklet p= 0.05 0. 0.5 0. 0.5 0.3 0.35 0.4 0.45 0.5 =5 0.4633 0.059 0.0874 0.035 0.034 0.0047 0.006 0.0005 0.000 0.0000 0.890 0.5490 0.386 0.67 0.080 0.0353 0.04 0.005 0.007 0.0005 0.9638 0.859 0.604 0.3980 0.36 0.68 0.067 0.07 0.007 0.0037 3 0.9945 0.9444 0.87 0.648 0.463 0.969 0.77 0.0905 0.044 0.076 4 0.9994 0.9873 0.9383 0.8358 0.6865 0.555 0.359 0.73 0.04 0.059 5 0.9999 0.9978 0.983 0.9389 0.856 0.76 0.5643 0.403 0.608 0.509 6.0000 0.9997 0.9964 0.989 0.9434 0.8689 0.7548 0.6098 0.45 0.3036 7.0000.0000 0.9994 0.9958 0.987 0.9500 0.8868 0.7869 0.6535 0.5000 8.0000.0000 0.9999 0.999 0.9958 0.9848 0.9578 0.9050 0.88 0.6964 9.0000.0000.0000 0.9999 0.999 0.9963 0.9876 0.966 0.93 0.849 0.0000.0000.0000.0000 0.9999 0.9993 0.997 0.9907 0.9745 0.9408.0000.0000.0000.0000.0000 0.9999 0.9995 0.998 0.9937 0.984.0000.0000.0000.0000.0000.0000 0.9999 0.9997 0.9989 0.9963 3.0000.0000.0000.0000.0000.0000.0000.0000 0.9999 0.9995 4.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000 p= 0.05 0. 0.5 0. 0.5 0.3 0.35 0.4 0.45 0.5 =0 0.3585 0.6 0.0388 0.05 0.003 0.0008 0.000 0.0000 0.0000 0.0000 0.7358 0.397 0.756 0.069 0.043 0.0076 0.00 0.0005 0.000 0.0000 0.945 0.6769 0.4049 0.06 0.093 0.0355 0.0 0.0036 0.0009 0.000 3 0.984 0.8670 0.6477 0.44 0.5 0.07 0.0444 0.060 0.0049 0.003 4 0.9974 0.9568 0.898 0.696 0.448 0.375 0.8 0.050 0.089 0.0059 5 0.9997 0.9887 0.937 0.804 0.67 0.464 0.454 0.56 0.0553 0.007 6.0000 0.9976 0.978 0.933 0.7858 0.6080 0.466 0.500 0.99 0.0577 7.0000 0.9996 0.994 0.9679 0.898 0.773 0.600 0.459 0.50 0.36 8.0000 0.9999 0.9987 0.9900 0.959 0.8867 0.764 0.5956 0.443 0.57 9.0000.0000 0.9998 0.9974 0.986 0.950 0.878 0.7553 0.594 0.49 0.0000.0000.0000 0.9994 0.996 0.989 0.9468 0.875 0.7507 0.588.0000.0000.0000 0.9999 0.999 0.9949 0.9804 0.9435 0.869 0.7483.0000.0000.0000.0000 0.9998 0.9987 0.9940 0.9790 0.940 0.8684 3.0000.0000.0000.0000.0000 0.9997 0.9985 0.9935 0.9786 0.943 4.0000.0000.0000.0000.0000.0000 0.9997 0.9984 0.9936 0.9793 5.0000.0000.0000.0000.0000.0000.0000 0.9997 0.9985 0.994 6.0000.0000.0000.0000.0000.0000.0000.0000 0.9997 0.9987 7.0000.0000.0000.0000.0000.0000.0000.0000.0000 0.9998 8.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000 07 Norther Cosortum UK Ltd. age of 5

IFYMB00 Maths Busess Apped C Formula Booklet p= 0.05 0. 0.5 0. 0.5 0.3 0.35 0.4 0.45 0.5 =5 0.774 0.078 0.07 0.0038 0.0008 0.000 0.0000 0.0000 0.0000 0.0000 0.644 0.7 0.093 0.074 0.0070 0.006 0.0003 0.000 0.0000 0.0000 0.879 0.537 0.537 0.098 0.03 0.0090 0.00 0.0004 0.000 0.0000 3 0.9659 0.7636 0.47 0.340 0.096 0.033 0.0097 0.004 0.0005 0.000 4 0.998 0.900 0.68 0.407 0.37 0.0905 0.030 0.0095 0.003 0.0005 5 0.9988 0.9666 0.8385 0.667 0.3783 0.935 0.086 0.094 0.0086 0.000 6 0.9998 0.9905 0.9305 0.7800 0.56 0.3407 0.734 0.0736 0.058 0.0073 7.0000 0.9977 0.9745 0.8909 0.765 0.58 0.306 0.536 0.0639 0.06 8.0000 0.9995 0.990 0.953 0.8506 0.6769 0.4668 0.735 0.340 0.0539 9.0000 0.9999 0.9979 0.987 0.987 0.806 0.6303 0.446 0.44 0.48 0.0000.0000 0.9995 0.9944 0.9703 0.90 0.77 0.5858 0.3843 0..0000.0000 0.9999 0.9985 0.9893 0.9558 0.8746 0.733 0.546 0.3450.0000.0000.0000 0.9996 0.9966 0.985 0.9396 0.846 0.6937 0.5000 3.0000.0000.0000 0.9999 0.999 0.9940 0.9745 0.9 0.873 0.6550 4.0000.0000.0000.0000 0.9998 0.998 0.9907 0.9656 0.9040 0.7878 5.0000.0000.0000.0000.0000 0.9995 0.997 0.9868 0.9560 0.885 6.0000.0000.0000.0000.0000 0.9999 0.999 0.9957 0.986 0.946 7.0000.0000.0000.0000.0000.0000 0.9998 0.9988 0.994 0.9784 8.0000.0000.0000.0000.0000.0000.0000 0.9997 0.9984 0.997 9.0000.0000.0000.0000.0000.0000.0000 0.9999 0.9996 0.9980 0.0000.0000.0000.0000.0000.0000.0000.0000 0.9999 0.9995.0000.0000.0000.0000.0000.0000.0000.0000.0000 0.9999.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000 3.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000 07 Norther Cosortum UK Ltd. age 3 of 5

IFYMB00 Maths Busess Apped C Formula Booklet p= 0.05 0. 0.5 0. 0.5 0.3 0.35 0.4 0.45 0.5 =30 0.46 0.044 0.0076 0.00 0.000 0.0000 0.0000 0.0000 0.0000 0.0000 0.5535 0.837 0.0480 0.005 0.000 0.0003 0.0000 0.0000 0.0000 0.0000 0.8 0.44 0.54 0.044 0.006 0.00 0.0003 0.0000 0.0000 0.0000 3 0.939 0.6474 0.37 0.7 0.0374 0.0093 0.009 0.0003 0.0000 0.0000 4 0.9844 0.845 0.545 0.55 0.0979 0.030 0.0075 0.005 0.000 0.0000 5 0.9967 0.968 0.706 0.475 0.06 0.0766 0.033 0.0057 0.00 0.000 6 0.9994 0.974 0.8474 0.6070 0.348 0.595 0.0586 0.07 0.0040 0.0007 7 0.9999 0.99 0.930 0.7608 0.543 0.84 0.38 0.0435 0.0 0.006 8.0000 0.9980 0.97 0.873 0.6736 0.435 0.47 0.0940 0.03 0.008 9.0000 0.9995 0.9903 0.9389 0.8034 0.5888 0.3575 0.763 0.0694 0.04 0.0000 0.9999 0.997 0.9744 0.8943 0.7304 0.5078 0.95 0.350 0.0494.0000.0000 0.999 0.9905 0.9493 0.8407 0.6548 0.43 0.37 0.00.0000.0000 0.9998 0.9969 0.9784 0.955 0.780 0.5785 0.359 0.808 3.0000.0000.0000 0.999 0.998 0.9599 0.8737 0.745 0.505 0.93 4.0000.0000.0000 0.9998 0.9973 0.983 0.9348 0.846 0.6448 0.478 5.0000.0000.0000 0.9999 0.999 0.9936 0.9699 0.909 0.769 0.57 6.0000.0000.0000.0000 0.9998 0.9979 0.9876 0.959 0.8644 0.7077 7.0000.0000.0000.0000 0.9999 0.9994 0.9955 0.9788 0.986 0.89 8.0000.0000.0000.0000.0000 0.9998 0.9986 0.997 0.9666 0.8998 9.0000.0000.0000.0000.0000.0000 0.9996 0.997 0.986 0.9506 0.0000.0000.0000.0000.0000.0000 0.9999 0.999 0.9950 0.9786.0000.0000.0000.0000.0000.0000.0000 0.9998 0.9984 0.999.0000.0000.0000.0000.0000.0000.0000.0000 0.9996 0.9974 3.0000.0000.0000.0000.0000.0000.0000.0000 0.9999 0.9993 4.0000.0000.0000.0000.0000.0000.0000.0000.0000 0.9998 5.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000 07 Norther Cosortum UK Ltd. age 4 of 5

2024 © sciencedocbox.com Privacy Policy | Terms of Service | Feedback