$${\text{In hyper geometric distribution; N = number of units in the population, n = number of units in the sample and k = number of successes in the population, then mean of hyper geometric distribution is defined as:}}$$

• A) $$n\frac{k}{N}$$
• B) $$\frac{k}{N}$$
• C) $$n.k$$
• D) $$\frac{n}{N}$$

Which property is true for the probability density function f(x)?

• A) f(x) > 0 for all x
• B) f(x) <= 0 for all x
• C) f(x) >= 0 for all x
• D) f(x) < 0 for all x

The probability that a continuous random variable X will assume any specific value is

• A) 0.50
• B) 1
• C) any value between -0.5 and 0.5
• D) 0

The rang of hypergeometric distribution is:

• A) 0 to n or k (whichever is less)
• B) 0 to N
• C) 0 to k
• D) 0 to n

We can apply binomial distribution formula, when we are drawing a sample from finite population without replacement and the sample size “n” is not more than ……..% of the population size N.

• A) 10%
• B) 5%
• C) 8%
• D) 1%

$${\text{The mean of Uniform distribution defined on the interval [a,b] is:}}$$

• A) $$\left( {a - b} \right)$$
• B) $$\frac{{a - b}}{2}$$
• C) $$\left( {a + b} \right)$$
• D) $$\frac{{a + b}}{2}$$

If the second moment ratio is greater than 3 the distribution will be:

• A) Platykurtic
• B) Mesokurtic
• C) None of these
• D) Leptokurtic

In which of the following distributions is the probability of a success usually small?

• A) Hypergeometric
• B) All distribution
• C) Binomial
• D) Poisson

In sampling distribution of the sample proportion p is equal to:

• A) x
• B) n
• C) x/n
• D) n/x

The shape parameter of normal distribution is:

• A) Mode
• B) Median
• C) Mean
• D) Standard Deviation

A uniform distribution has the following shape:

• A) Bi-modal
• B) U-shaped
• C) Bell-shaped
• D) Rectangular

If a random variable X denotes the number of heads when we toss a fair coin 5 times, the X assumed the values:

• A) 1, 5, 5
• B) 0,1,2,3
• C) 1, 2,3,4,5
• D) 0, 1, 2,3,4,5

In a binomial experiment:

• A) Number of trials “n” is a fixed
• B) None of the above
• C) Number of trials “n” is a variable
• D) Number of trials “n” is not specified

In hyper geometric distribution events can be classified in to

• A) 4 categories
• B) 3 categories
• C) 2 categories
• D) a single category

Which of the following statements is not an example of a continuous random variable?

• A) The time it takes you to finish this statistics test
• B) The time to failure for an electronic system
• C) The price for cheese cake in New York Style cheese cake
• D) The weight gain in pounds per month for a calf

A distribution involving three r.v.’s simultaneously is referred to as

• A) univarate
• B) 3rd degree
• C) bivariate
• D) trivariate

In a binomial experiment with three trials, the variable can take:

• A) 3 values
• B) 2 values
• C) 5 values
• D) 4 values

A random experiment has five outcomes in its sample space {s1, s2, s3, s4, s5}.
If P(s1)=0.2,P(s2)=0.3, P(s3)=0.1 and P(s4)=0.2
then P(s5)=?

• A) 0.2
• B) 1
• C) 0.8
• D) 0.5

What is the mean and variance of binomial distribution b(x; n, p)?

• A) np and npq
• B) np and pq
• C) Zero and one
• D) xp and npq

The normal curve is:

• A) A convenient fiction.
• B) The typical frequency curve for psychological data.
• C) A bell-shaped distribution
• D) The standard against which all other distributions are assessed.