If 70% of all Millennials are currently saving for retirement, calculate the probabilities of the following events from a random sample of 15 Millennials:
a. Exactly 5 are saving for retirement
b. More than 7 are saving for retirement
c. Between 3 and 8 are saving for retirement
d. Fewer than 6 are saving for retirement
e. Exactly 3 are not saving for retirement