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2 Copyright by Ali.khan MCQ's Originally by me. According to me these are % correct and if you found any mistake then kindly me at ddrc4@gma il. com with reference STA3 Online 5 Quizzes from Lectures -27. Question # of ( Start time: 8:23:4 PM ) Total Marks: If Y=bX, then variance of Y is b*2 var(x) var(x) b var(x) b square root var(x) 2. Question # 2 of ( Start time: 8:24:38 PM ) Total Marks: If f(x) is a continuous probability function, then P(X = 2) is: page # 83 / Question # 3 of ( Start time: 8:25:52 PM ) Total Marks: In regression line Y=a+bX, Y is called: Dependent variable Page # 6 Independent variable Explanatory variable Regressor 4. Question # 4 of ( Start time: 8:26:5 PM ) Total Marks: If A and B are mutually exclusive events with P (A) =.25 and P (B) =.5, Then P (A or B) =.25

3 Copyright by Ali.khan.75 P ( A or B) = P(A) + P(B).5 5. Question # 5 of ( Start time: 8:28:6 PM ) Total Marks: Symbolically, a conditional probability is: P(AB) P(A/B) page # 54 P(A) P(AUB) 6. Question # 6 of ( Start time: 8:28:42 PM ) Total Marks: In a 52 well shuffled pack of 52 playing cards, the probability of drawing any one diamond card is /52 4/52 3/52 52/52 7. Question # 7 of ( Start time: 8:3:3 PM ) Total Marks: Probability of a sure event is 8 page # Question # 8 of ( Start time: 8:3:42 PM ) Total Marks: If Y=3X+5,then S.D of Y is equal to 9 s.d(x) 3 s.d(x) s.d(x)+5 3s.d(x)+5

4 Copyright by Ali.khan Question # 9 of ( Start time: 8:33:6 PM ) Total Marks: The probability of drawing a red queen card from well-shuffled pack of 52 playing cards is 4/52 2/52 as we know there are two red Queens one is diamond Queen and other is Hearts Queen 3/52 26/52. Question # of ( Start time: 8:34:4 PM ) Total Marks: If P (B A) =.25 and P (A and B) =.2, then P (A) is.5.8 p(b/a) = P(A^B)/P(A) then p(b/a)* P(A) = P(A^B) then p(a) = P(A^B)/p(B/A) =.2 /.25 =.8 page # Question # of ( Start time: 8:57:45 PM ) Total Marks: When a coin is tossed 3 times, the probability of getting 3 tails is /8 3/8 as we know in this sample space TTT comes only once 3/6 2/8 2. Question # 2 of ( Start time: 8:59:4 PM ) Total Marks: In how many ways can a team of players be chosen from a total of 6 players? 4368 we use there 5 C = as we know number are not in order

5 Copyright by Ali.khan 3. Question # 3 of ( Start time: 9::38 PM ) Total Marks: The standard deviation of c (constant) is c c square does not exist 4. Question # 4 of ( Start time: 9::46 PM ) Total Marks: If P (E) is the probability that an event will occur, which of the following must be false: P(E)= - As we know probability always lies between and P(E)= P(E)=/2 P(E)=/3 Question # 5 of ( Start time: 9:2:48 PM ) Total Marks: Let E and F be events associated with the same experiment. Suppose the E and F are independent and that P(E) = /4 and P(F) = /2 Then P(E U F) is: /8 3/4 7/8 5/8 as we can see events are not mutually exclusive that s why we use P(E U F) =P(E) + P(F) P(E^F) = 5/8 6. Question # 6 of ( Start time: 9:4:9 PM ) Total Marks: A student solved 25 questions from first 5 questions of a book to be solved. The probability that he will solve the remaining all questions is:.25.5

6 Copyright by Ali.khan 7. Question # 7 of ( Start time: 9:5:3 PM ) Total Marks: If Y=bX, then variance of Y is b*2 var(x) var(x) b var(x) b square root var(x) 8. Question # 9 of ( Start time: 9:7:48 PM ) Total Marks: The classical definition of probability assumes: Exhaustive events Mutually exclusive events Equally likely evens Independent evens 9. Question # of ( Start time: 9:8:5 PM ) Total Marks: In scatter diagram, the variable plotted along Y-axis is: Independent variable Dependent variable (page # 5) Continuous variable Discrete variable 2. Which of the following measures of dispersion are based on deviations from the mean? Variance Standard deviation Mean deviation Source = ( dispersion/ldispersion.html) All of the these 2. What does it mean when a data set has a standard deviation equal to

7 Copyright by Ali.khan zero? All values of the data appear with the same frequency. The mean of the data is also zero. All of the data have the same value. There are no data to begin with. 22. A set of possible values that a random variable can assume and their associated probabilities of occurrence are referred to as. Probability distribution The expected return The standard deviation Coefficient of variation (page # 62 random variables section) 23. Which of the following can never be probability of an event? already tell you 24. The standard deviation of -, -, -, - will be - Does not exist (as we cant take the squire root of -) 25. Which formula represents the probability of the complement of event? A: + P (A) - P (A) (page # 5)

8 Copyright by Ali.khan P (A) P (A) The Special Rule of Addition is used to combine: Independent Events (see lecture # 9 we use P(AUB) = P(A) + P(B) when we deal with mutually exclusive events but this is spacile rule of addition means P(AUB) = P(A) +P(B) P(A^B) Mutually Exclusive Events Events that total more than. Events based on subjective probabilities 27. set which is the sub-set of every set is Empty Set (page # 29) Power Set Universal Set Super Set 28. E(4X + 5) = 2 E (X) 4 E (X) + 5 (page # 75) 6 E (X) E (X) 29. When two dice are rolled the number of possible sample points is : ( 6 2 )

9 Copyright by Ali.khan 3. Question # of ( Start time: 9:43:4 PM ) Total Marks: If two events A and B are not mutually exclusive then P (A or B) = P (A) + P (B) P (A and B) (page # 52) P (A or B) = P (A) + P (B) P (A or B) = P (A) x P (B) P (A or B) = P (A) + P (B) 3. Question # 2 of ( Start time: 9:43:59 PM ) Total Marks: Evaluate (-4)! (6! = 6x5x4x3x2x) = Question # 3 of ( Start time: 9:45: PM ) Total Marks: When E is an impossible event, then P(E) is: (page # 52) Question # 4 of ( Start time: 9:46:2 PM ) Total Marks: When we toss a coin, we get only: outcome 2 outcome 3 outcome 4 outcome 34.

10 Copyright by Ali.khan Question # 5 of ( Start time: 9:47:5 PM ) Total Marks: For exhaustive events, the P(AUBUC) is equal to: P(A) P(S) P(A) * P(B)* P(C) None of these (because P(AUBUC) = P(A) + P(B) + P(C) - P(A^B) - P(B^C) - P(C^A) + P(A^B^C )) 35. Question # 6 of ( Start time: 9:48:2 PM ) Total Marks: A student solved 25 questions from first 5 questions of a book to be solved. The probability that he will solve the remaining all questions is: A set of possible values that a random variable can assume and their associated probabilities of occurrence are referred to as. Probability distribution The expected return The standard deviation Coefficient of variation 37. Question # 9 of ( Start time: 9:5:35 PM ) Total Marks: If we roll a die then probability of getting a 6 will be 2/6 /6 4/6

11 Copyright by Ali.khan 38. Question # of ( Start time: 9:5:36 PM ) Total Marks: If P(A) =.45, P(B) =.35, and P(A and B) =.25, then P(A B) is: (as we know P(A/B) = P(A^B)/P(B)) Question # 8 of ( Start time: 9:49:53 PM ) Total Marks: Which of the following is not a measure of central tendency? Percentile (because Arithmetic mean and median also use in Quartiles and S.D) Quartile Standard deviation Mode 4. Question # of ( Start time: 9:56:49 PM ) Total Marks: Random experiment can be repeated any no. of times under the conditions. Different Similar (page # 39 last paragraph) 42. Question # 3 of ( Start time: 9:58:4 PM ) Total Marks: The simultaneous occurrence of two events is called: Joint probability (Page # 89) Subjective probability Prior probability

12 Copyright by Ali.khan Conditional probability 43. Question # 4 of ( Start time: 9:59:47 PM ) Total Marks: In regression analysis, the variable that is being predicted is the Dependent variable Independent variable Intervening variable None of these Also see this picture and remember very important for paper

MIDTERM EXAMINATION (Spring 2011) STA301- Statistics and Probability

STA301- Statistics and Probability Solved MCQS From Midterm Papers March 19,2012 MC100401285 Moaaz.pk@gmail.com Mc100401285@gmail.com PSMD01 MIDTERM EXAMINATION (Spring 2011) STA301- Statistics and Probability