The probability of success changes from trial to trial, is the property of:

• A) Binomial experiment
• B) Both binomial & hypergeometric experiment
• C) Hypergeometric experiment
• D) Poisson experiment

The location parameter of normal distribution is:

• A) Mean
• B) Standard Deviation
• C) Variance
• D) Range

Let the random variable Z have the standard normal distribution. P (Z > 1.96) is:

• A) 0.3210
• B) 0.0250
• C) 0.1334
• D) 0.4750

The number of telephone calls that pass through a switchboard has a Poisson distribution with mean equal to two per minute. The probability that no telephone call passes through the switch board in a minutes is:

• A) 0.0517
• B) 0.1353
• C) 0.0183
• D) 0.2707

Mean and variance of a Poisson Distribution are:

• A) Variance is greater than mean
• B) Equal
• C) Mean is greater than variance
• D) Not equal

$$According{\text{ }}to{\text{ }}emperical{\text{ }}rule,{\text{ }}how{\text{ }}much{\text{ }}data{\text{ }}lies{\text{ }}between\,\mu - 2\sigma \,and\,\mu + 2\sigma \,?$$

• A) 95.44%
• B) 50%
• C) 99.73%
• D) 68.26%

For a probability density function (pdf), the probability of a single point is

• A) 1
• B) 0
• C) Constant
• D) 2

Let X be a random variable with binomial distribution, that is (X=0,1,…, n). The expected value E[X] is

• A) p
• B) np
• C) np(1-p)
• D) Xnp

The number of parameters in Poisson distribution is (are):

• A) 1
• B) 2
• C) 4
• D) 3

Which of the following is the requirement of a uniform distribution?

• A) Only two possible outcomes
• B) A constant probability of success
• C) Equally likely outcomes
• D) A fixed number of trials

E(4X + 5) =__________

• A) 4 E (X) + 5
• B) 16 E (X)
• C) 16 E (X) + 5
• D) 12 E (X)

The relationship between the mean and variance of Poisson distribution is:

• A) Mean <Variance
• B) Mean >Variance
• C) Mean = Standard deviation
• D) Mean = Variance

If E(x) = 1.5 then E(2X+3)=.....:

• A) 3
• B) 2
• C) 1.5
• D) 6

Using the normal approximation to the binomial distribution with n= 3 and p= 0.0571 the value of mean is:

• A) 0.5133
• B) 0.1923
• C) 0.2132
• D) 0.1713

Binomial distribution has two parameters; which are:

• A) X and n
• B) p and q
• C) p and n
• D) None

E(4X + 50) =_________

• A) 4 E(X)
• B) 16E(X)
• C) 4 E(X)+50
• D) E(X)+50

In hyper geometric distribution probability of success always:

• A) None of the above
• B) is constant from trial to trial
• C) sometimes varies and sometimes is constant
• D) Varies from trial to trial

The number of parameters in uniform distribution is (are):

• A) 3
• B) 4
• C) 2
• D) 1

E(10X +3) =_________

• A) E(X)+3
• B) 10 E(X)
• C) 100E(X)
• D) 10 E(X)+3

Ten percent of the population is left-handed. In a class of 100 students, which of the following is the correct statement for "there are at most 12 left-handed students in the class" :

• A) P (x = 12)
• B) P (x ≤ 12)
• C) P (x > 12)
• D) P (x < 12)