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QUESTION: 1

Assuming that one-third of the population is 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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QUESTION: 2

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

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QUESTION: 3

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 normal distribution with

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QUESTION: 4

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

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QUESTION: 5

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

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QUESTION: 6

If it 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?

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QUESTION: 7

If the two quartiles of N (µ , σ^{2}) are 14.6 and 25.4 respectively, what is the standard deviation of the distribution?

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QUESTION: 8

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 that there will be exactly two such failures in the next 100 such flights?

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QUESTION: 9

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

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QUESTION: 10

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

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QUESTION: 11

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

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QUESTION: 12

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

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QUESTION: 13

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

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QUESTION: 14

What is the standard deivation of the number of recoveries among 48 patients when the probability of recovering os 0.75?

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QUESTION: 15

If a variate X has has, mean > variance, then its distribution will be_______.

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QUESTION: 16

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

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QUESTION: 17

What is the number of trials of a binomial distribution having mean and SD as 3 and 1.5 respectively?

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QUESTION: 18

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

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QUESTION: 19

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

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QUESTION: 20

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

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QUESTION: 21

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

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QUESTION: 22

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

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QUESTION: 23

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

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QUESTION: 24

5,000 students were appeared in an examination. The mean of marks was 39.5 with a Standard Deviation 12.5 marks. Assuming the distribution to be normal, find the number of students recorded more than 60% marks.Given: When Z = 1.64, aREA OF NORMAL CURVE = 0.4495

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QUESTION: 25

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

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QUESTION: 26

In a certain Poisson frequency distributionn, the probability corresponding to two successes is half the probability corresponding to three successes.The mean of the distribution is

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QUESTION: 27

For Poisson Distribution:

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QUESTION: 28

In a normal distribution quartile deviation is 6, the standard deviation will be

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QUESTION: 29

An approximate relation between quartile deviation (QD) and standard deviation (S.D) of normal distribution is:

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QUESTION: 30

In a binomial Distribution with 5 independent trials, probability of 2 and 3 successes are 0.4362 and 0.2181 respectively. Parameter 'p' of the binomial distribution is:

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QUESTION: 31

Which of the following is not a characteristic of a normal probability distribution?

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QUESTION: 32

The mode of the Binomial Distribution for which the mean is 4 and variance 3 is equal to?

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QUESTION: 33

For binomial distribution

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QUESTION: 34

If a random variable x follows Poisson distribution such such that E(x) = 30, then the variance of the distribution is

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QUESTION: 35

If parameters of a binomial distribution are n and p then, this distribution tends to a Poisson distribution when

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QUESTION: 36

In a Normal Distribution

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QUESTION: 37

The results od ODI matches between India and Pakistan follows

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QUESTION: 38

The mean deviation about median of a standard normal variate is

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QUESTION: 39

The interval (μ-3σ, μ+3σ) covers:

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QUESTION: 40

The quartile deviation of a normal distribution with mean 10 and SD 4 is

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### Joint Distributions and Sampling Distributions

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### Probability Distributions

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### Summary - Theoretical Distribution

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