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Problem: There are 20 marbles in a jar.  Seven of the marbles are red and the remainder are blue.  

Required:

a. If I select 5 marbles without replacement, what is the probability that exactly 3 of the marbles are blue?

b. What is the expected value of the number of blue marbles in this case?

c. What is the variance in this case?

d. If I select 5 marbles with replacement, what is the probability that exactly 3 of the marbles are Blue?

e. What is the expected value of the number of blue marbles in this case?

f. What is the variance in this case?

Statistics and Probability, Statistics

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