The hyper geometric probability distribution is appropriate when a random sample of size n is drawn without replacement from a ______ population of N units:

• A) All
• B) finite
• C) total
• D) infinite

A random experiment is a one in which we repeat it a large number of times under similiar conditions an it produces:

• A) Independent results
• B) None of the above
• C) Different results
• D) Same results

The probability function of a random variable is defined as:
x : -1 -2 0 1 2
f(x): k 2k 3k 4k 5k

Then k is equal to:

• A) 1/4
• B) 1/15
• C) 2
• D) 0

A sales firm receives different calls from clients. If someone says, today it will receive “at most 3 calls”. How many calls will be received?

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

Throw two dice over and over until you roll a double six. Suppose X = the number of throws, then X is

• A) Bivariate
• B) Continuous variable with defined range
• C) Discrete variable
• D) Continuous variable without defined range

The probability mass function p(x) of a discrete random variable X is: P(0)=0.10, P(1)=0.15,
P(2)=0.45, P(3)=0.05, and P(4)=0.25.
What is the value of cumulative distribution function for x=2

• A) 0.7
• B) 0.5
• C) 0.3
• D) 0.5

If the first moment ratio is greater than 0, then the distribution will be:

• A) None of these
• B) Symmetrical
• C) Positively Skewed
• D) Negatively Skewed

The correlation coefficient:

• A) makes the scatterplot redundant.
• B) should be interpreted alongside the relevant scatterplot.
• C) can be expressed as a percentage.
• D) all of these.

In a probaility distribution, if we divide each frequency of the frequecy distribution by it's total frequency it is known as;

• A) Cumulative Frequency
• B) None of the above
• C) Cumulative Relative Frequency
• D) Relative Frequency

Suppose ‘X’ is equal to the number of heads, when you throw a coin three times. The possible values of X are:

• A) 0,1,2,3,.....
• B) 1,2,3
• C) 0,1,2,3
• D) 1,2,3,.....

The hypergeometric probability distribution has parameters:

• A) N, N-K, n
• B) N, n
• C) N, P, n
• D) N, n, k

The probability mass function p(x) of a discrete random variable X is: P(0)=0.10, P(1)=0.15,
P(2)=0.45, P(3)=0.05, and P(4)=0.25.
WHat is the value of cumulative distribution function F(x) at X = 3?

• A) 0.35
• B) 0.45
• C) 0.65
• D) 0.75

If E(x)=2 and E(y)=5 then E(xy) is equal to:

• A) 7
• B) 5
• C) 10
• D) 3

For good approximation of Poisson distribution to the binomial distribution, which of the following condition (s) is/are required:

• A) The population size is large relative to the sample size
• B) The probability, p, is small and the sample size is large
• C) The probability, p, is close to .5 and the population size is large
• D) The probability, p, is close to .5 and the sample size is large

If in a lottery, one thousand tickets are sold. The chance of a ticket for wining the lottery is:

• A) No information is given
• B) Mutually exclusive
• C) Not equally likely
• D) Equally likely

If value of p is smaller or lesser than 0.5 then binomial distribution is classified as:

• A) skewed to left
• B) skewed to right
• C) skewed to integers
• D) skewed to infinity

When N becomes indefinitely large (N tends to infinity) hyper geometric distribution follows:

• A) Binomial distribution
• B) Normal distribution
• C) Poisson distribution
• D) None of the above

In a bivariate probability distribution of X and Y,
If f(0,1)=3/14, g(0)=5/14 and h(1)=3/7,
then

• A) X and Y are statistically independent
• B) Both of these
• C) X and Y are not statistically independent
• D) None of these

$$According{\text{ }}to{\text{ }}emperical{\text{ }}rule,{\text{ }}how{\text{ }}much{\text{ }}data{\text{ }}lies{\text{ }}between\,\mu - 3\sigma \,and\,\mu + 3\sigma \,?$$

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

Match the binomial probability P(x> 0.5) with the correct statement.

• A) P(there are at least 0.50 successes)
• B) P(there are at most 0.50 successes)
• C) P(there are fewer than 0.50 successes)
• D) P(there are more than 0.50 successes)