1.Consider the following discrete probability distribution: X -1.3 0 2.1 5.4 6.2 P(X) 0.19 0.18 0.15 0.24 0.24 a) What is P(X=0)? b) What is

a)  What is E[X]?

Round your answer to at least 3 decimal places.

b)  What is Var[X]?

Round your answer to at least 3 decimal places.

4. Identify each of the following statements as either TRUE or FALSE.

a)   (Click for List) True False  In a geometric distribution, if the first success occurs on the Xth trial, then on the first X - 1 trials there must have been only a small number of successes.

b)   (Click for List) True False  If X is a geometric random variable, then the smallest value X can take on is 0.

c)   (Click for List) True False  The mean of X, a geometric random variable, is 1/p, where p is the probability of success on a single trial.

d)   (Click for List) False True  If the probability of success in a geometric distribution is greater than 0.5, then the variance is greater than the mean.

e)   (Click for List) False True  The geometric distribution is dependent upon two parameters.

5. Let X be a discrete random variable that follows a binomial distribution with n = 11 and probability of success p = 0.71.

What is P(X>7∣X≤9)?

Round your response to at least 3 decimal places.

6. According to the Statistics Canada website, the unemployment rate in Canada is approximately 8.0 % of the eligible workforce.  If 25 members of the eligible workforce are randomly selected, what is the probability that exactly 4 of them are unemployed?

 Round your response to 3 decimal places.