1 Consider The Following Discrete Probability Distribution X 1 3 0 2 1 5 4 6 2

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.
 
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