MTH302 Quiz # 4. Solved By When a coin is tossed once, the probability of getting head is. Select correct option:

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1 MTH302 Quiz # 4 Solved By konenuchiha@gmail.com When a coin is tossed once, the probability of getting head is (1/2) 0.51 Suppose the slope of regression line is 20 and the intercept is 9, then the equation of regression line will be y - 20x +9 = 0 y +20x -9 = 0 y -20x -9 = 0 (y=9+20x) y +20x +9 = 0 What is probability of r or more successes when m=7;r= successive binomial trials are assumed to be Independent Dependent May be independent

2 In the regression line The point (Xbar, Yabr) lies on the regression line The point (Xbar, Yabr) doesn t lies on the regression line The point (Xbar,Yabr) lies on origion always A scatterplot of a correlation of.10 would look straight line. circle. square ellipse The sum of all probabilties for any poisson density function is always The probability of successes can be less than 0 or greater than 1. True False

3 In scatter diagram, clustering of points around a straight line indicates a) Linear regression b) Non-linear regression c) Curvilinear linear regression d) Both (a) and (b) Evaluate 30! / 28!. (! means factorial) Equation of line having slope 0 and passing through the point A (0, 0) is X =0 Y= X Y=0 X-1= 0 What is the value of nc0? (C for combination) n 0 1.

4 The slope of the regression line may be Positive Negative Zero All of these The mathematical equation describing the liner relation is Y = a + bx Y = x Y = a + bx^2+c Y = C The probability of "success" p is equals to q 1-q 1+q If an event A is a proper subset of an event B then Probability of the event B is less than the event A A is equals the event B A is less than the event B he moving averages can be used for mode forecasting purposes

5 Middle value. Median Which of these numbers cannot be a probability? An arrangement of all or some of a set of objects in a definite order is called Combination Permutation What is the value of 5C5? (C for combination) Regression line always passes through Mean of data Median of data Both i. & ii. None Question # 2 of 10 ( Start time: 10:55:09 PM ) Total Marks: 1 Evaluate 13C4? 615

6 % of the electric bulbs manufactured by a company are defective. What is the probability that a bulb selected will not be defective? 90% 88% 80% 85% If the equation of regression line is y = 5, then what result will you take out from it? The line passes through origin. The line passes through (5, 0) The line is parallel to y-axis. The line is parallel to x-axis. The equation of the least squares line is x What is the predicted value of y when x = 1,000? Which of the following can be best fit for the prediction of the vehicles arriving at their destination in 2 hours?

7 Binomial Distribution Normal Distribution Poisson Distribution Chi-Square Distribution The correct formula for AND rule is P(A and B)= P(A) P(B) P(A and B)= P(A)-P(B) P(A and B)= P(A) + P(B) A coin is tossed twice. What is the probability of getting head on first toss and tail on second toss? ½ 1/3 ¼ Which of the following is applicable to a Poisson Distribution? It is used to compute the probability of rare events. Every event is independent of every other event. The range for the number of events that could occur is 0,1,2,3,... all of given choices. he moving average CANNOT be used for one of the followings. Time Series Variation Smoothing Operation Short-term fluctuations Standard Deviations

8 When a dice is rolled then outcomes on the face of the dice (i.e. 1, 2, 3, 4, 5, 6) are mutually exclusive. True False If the mean & standard deviation on an examination are 74 & 12 respectively and the standard scores is z= -1 then the grade x is Equation of line having slope 0 and passing through the point A (0, 1) is Y =1 Y-1= X X=1 X-1= 2(Y+1) Which of the following formula is correct? =BINOMDIST( 7, 4, 0.5, FALSE ) =BINOMDIST( -4, 7, 1.5, FALSE ) =BINOMDIST( 4, -7, 1.5, FALSE ) =BINOMDIST( 4, 7, 0.5, FALSE ) Probability of occurrence of an event A = (Where X=Number of outcomes favorable to event A and n=total number of outcomes) nx n/x

9 X/n In how many ways a team of 4 players be chosen from a total 10 persons? The sum of the probabilities of all mutually exclusive and collectively exhaustive events is always equal to 1 >1 <1-1 The business ups and downs over a period of certain number of years is an example of Seasonal variation Cyclical fluctuation Secular trend A fair die is rolled. What will be the probability of even numbers? 1/6 2/6 3/6

10 Question # 6 of 10 ( Start time: 11:29:02 PM ) Total Marks: 1 For mutually exclusive events P(AUB)=P(A)P(B) P(AUB)=P(A)/P(B) P(AUB)=P(A)-P(B) P(AUB)=P(A)+P(B) If a dice is thrown what is the chance of getting an odd number or a number divisible bytwo? 1/3 4/6 ½ n how many ways can the letters of the word 'APPLE be arranged? In the scatter diagram, clustering of points around a straight line indicates linear regression non-linear regression curvilinear regression none of these The probability of successes can be less than 0 or greater than 1. True False

11 How many possible permutations can be formed from the word STATISTICS? S=3, A =1, T =3, I =2, C = 1 Formula npr = n!/n1!n2!..nk! = 10!/3!1!3!2!1! = !/3!3!2! = There are 5 Rock songs, 6 Carnatic songs and 3 Indian pop songs. How many different albums can be formed using the above repertoire if the albums should contain at least 1 Rock song and 1 Carnatic song? Suppose the slope of regression line is and the intercept is 1.56, then the equation of regression line will be y 1.56 = x y = x y x = y 16.36x = 1.56 When a dice is rolled then outcomes on the face of the dice (i.e. 1, 2, 3, 4, 5, 6) are mutually exclusive. True False A pattern of variation of a time series that repeats every year is called:

12 Cyclical Seasonal Trend Secular The New Forecast is (constant of exponential smothing is 'c') old forecast + c x (old actual old forecast) old forecast + c x (old forecast old actual) old forecast - c x (old actual + old forecast) This formula =BINOMDIST( 3, 6, 0.5, TRUE ) is for Cumulative Bionomial distribution. True False The moving averages can be used for better graph forecasting purpose middle value Median When a coin is tossed, the events that it lands heads or tails are mutually exclusive. True

13 False A single card is to be drawn from a well shuffled deck of cards. What will be the probability of black cards? 25/52 26/52 27/52 What is probability of r or more successes when m=7;r= A simple linear regression model is an equation that describes the straight-line relationship between a dependent variable and an independent variable. True false Which of the following is NOT applicable to a Poisson distribution? It is used to compute the probability of rare events. Every event is independent of every other event. The range for the number of events that could occur is 0,1,2,3,...

14 Every event is dependent of every other event. The moving averages of the Prices 50, 60, 70, 80 are 50, 60 60, 70 70, 80 65, 65 The method of least squares finds the best fit line that the error between observed & estimated points on the line Maximizes Minimizes Reduces to zero All the given choices are correct. A fair coin is tossed three times then its total number of sample points of the sample space will be 3^2 2^3 2^4 How many words can be formed by using all letters of the word LAHORE?

15 If a = 2, b = 1, independent variable = 4 then dependent variable for an estimating regression line is none of the given choices If a dice is thrown what is the chance of getting an odd number or a number divisible bytwo? 1/3 4/6 ½ In the excel formulation for Poisson distribution i-e "POISSON(x,mean,cumulative)", if X<0 then it returns to TRUE FALSE #VALUE! #NUM! The sign of regression coefficient is associated with

16 variance of x variance of y co-variance of x and y none of these In how many ways can the letters of the word LEADER be arranged? Poisson probabilty density function has parameter(s) When A and B are mutually exclusive, then P (A or B) =.. P (A) - P (B) P (A) + P (B) P (A) * P (B)

17 P (A) / P (B) Which of the following formula is correct? =BINOMDIST( 7, 4, 0.5, FALSE ) =BINOMDIST( -4, 7, 1.5, FALSE ) =BINOMDIST( 4, -7, 1.5, FALSE ) =BINOMDIST( 4, 7, 0.5, FALSE )

TOPIC 12 PROBABILITY SCHEMATIC DIAGRAM

TOPIC 12 PROBABILITY SCHEMATIC DIAGRAM Topic Concepts Degree of Importance References NCERT Book Vol. II Probability (i) Conditional Probability *** Article 1.2 and 1.2.1 Solved Examples 1 to 6 Q. Nos