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Test: Theoretical Distributions- 2 - CA Foundation MCQ


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30 Questions MCQ Test Quantitative Aptitude for CA Foundation - Test: Theoretical Distributions- 2

Test: Theoretical Distributions- 2 for CA Foundation 2024 is part of Quantitative Aptitude for CA Foundation preparation. The Test: Theoretical Distributions- 2 questions and answers have been prepared according to the CA Foundation exam syllabus.The Test: Theoretical Distributions- 2 MCQs are made for CA Foundation 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Theoretical Distributions- 2 below.
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Test: Theoretical Distributions- 2 - Question 1

(Direction 1 - 3) Write down the correct answers. Each question carries 1 mark.

Q. The result of ODI matches between India and Pakistan follows 

Test: Theoretical Distributions- 2 - Question 2

The wage of workers of a factory follow

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Test: Theoretical Distributions- 2 - Question 3

If X and Y are two independent random variables such that X ~ χ2m and Y~ χ2 n , then the distribution of (X +Y) is

Test: Theoretical Distributions- 2 - Question 4

(Direction 4 - 27) Write down the correct answers. Each question carries 2 marks.

Q. What is the standard deviation of the number of recoveries among 48 patients when the probability of recovering is 0.75?

Test: Theoretical Distributions- 2 - Question 5

X is a binomial variable with n = 20. What is the mean of X if it is known that x is  symmetric?

Test: Theoretical Distributions- 2 - Question 6

If X ~ B (n, p), what would be the least value of the variance of x when n = 16?

Test: Theoretical Distributions- 2 - Question 7

If x is a binomial variate with parameter 15 and 1/3, what is the value of mode of the distribution

Test: Theoretical Distributions- 2 - Question 8

What is the no. of trials of a binomial distribution having mean and SD as 3 and 1.5 respectively?

Test: Theoretical Distributions- 2 - Question 9

What is the probability of getting 3 heads if 6 unbiased coins are tossed simultaneously?

Test: Theoretical Distributions- 2 - Question 10

If the overall percentage of success in an exam is 60, what is the probability that out of a group of 4 students, at least one has passed?

Test: Theoretical Distributions- 2 - Question 11

What is the probability of making 3 correct guesses in 5 True – False answer type questions?

Test: Theoretical Distributions- 2 - Question 12

If the standard deviation of a Poisson variate X is 2, what is P (1.5 < X < 2.9)?

Test: Theoretical Distributions- 2 - Question 13

If the mean of a Poisson variable X is 1, what is P (X = at least one)?

Test: Theoretical Distributions- 2 - Question 14

If X ~ P (m) and its coefficient of variation is 50, what is the probability that X would assume only non-zero values?

Test: Theoretical Distributions- 2 - Question 15

If 1.5 percent of items produced by a manufacturing units are known to be defective, what is the probability that a sample of 200 items would contain no defective item?

Test: Theoretical Distributions- 2 - Question 16

For a Poisson variate X, P (X = 1) = P (X = 2). What is the mean of X?

Test: Theoretical Distributions- 2 - Question 17

If 1 percent of an airline‘s flights suffer a minor equipment failure in an aircraft, what is the probability that there will be exactly two such failures in the next 100 such flights?

Test: Theoretical Distributions- 2 - Question 18

If for a Poisson variable X, f(2) = 3 f(4), what is the variance of X?

Test: Theoretical Distributions- 2 - Question 19

What is the coefficient of variation of x, characterised by the following probability density

Test: Theoretical Distributions- 2 - Question 20

What is the first quartile of X having the following probability density function?

Test: Theoretical Distributions- 2 - Question 21

If the two quartiles of N (µ , σ2) are 14.6 and 25.4 respectively, what is the standard deviation of the distribution?

Test: Theoretical Distributions- 2 - Question 22

If the mean deviation of a normal variable is 16, what is its quartile deviation?

Test: Theoretical Distributions- 2 - Question 23

If the points of inflexion of a normal curve are 40 and 60 respectively, then its mean deviation is

Test: Theoretical Distributions- 2 - Question 24

If the quartile deviation of a normal curve is 4.05, then its mean deviation  is

Test: Theoretical Distributions- 2 - Question 25

If the Ist quartile and mean deviation about median of a normal distribution are 13.25 and 8 respectively, then the mode of the distribution is

Test: Theoretical Distributions- 2 - Question 26

If the area of standard normal curve between z = 0 to z = 1 is 0.3413,  then the value of φ (1) is

Test: Theoretical Distributions- 2 - Question 27

If X and Y are 2 independent normal variables with mean as 10 and 12 and SD as 3 and 4, then (X+Y) is normally distributed with

Test: Theoretical Distributions- 2 - Question 28

(Direction 28 - 40) Answer the following questions. Each question carries 5 marks.

Q. If it is known that the probability of a missile hitting a target is 1/8, what is the probability that out of 10 missiles fired, at least 2 will hit the target?

Test: Theoretical Distributions- 2 - Question 29

X is a binomial variable such that 2 P(X = 2) = P(X = 3) and mean of X is known to be 10/3. What would be the probability that X assumes at most the value 2?

Test: Theoretical Distributions- 2 - Question 30

Assuming that one-third of the population are tea drinkers and each of 1000 enumerators takes a sample of 8 individuals to find out whether they are tea drinkers or not, how many enumerators are expected to report that five or more people are tea drinkers?

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