Question

1) If the probability that a tennis player will serve an ace is .27, what is the probability that he will serve: (only set up. DO NOT evaluate.)
a) exactly 3 aces out of 8 serves?
b) at least 1 ace out of 8 serves?

a) p(x=3) (8,3) (.27)^3 (.73)^5
b) At least ---> no more p (x > or equal to 1)
= 1 - sum of p(x+1) and p(x+3) (please correct me if I'm wrong)


2) A survey shows that 75% of the households in a large town have microwave ovens. If 20 houses are selected at random, find the following (only set up. DO NOT evalute)
a) The probability that five of these households have microwave ovens.
b) The probability that no more than one of these households has a microwave oven.
c) The probability that at least 3 of these households have a microwave oven.

a) p(x=5) = x(20,5) (.75)^5 (.25)^15
b)no more---> p(x< or equal to 1)
p(x< or equal to 1) = p(x+0) + p(x+1)
c) P(x> or equal to 3)
= 1 - p(x=0)+p(x=1)+p(x=2)