A gardening inspector randomly selects people one be one from a
large population until she finds someone who has heard of PL
Melons. Let X be the number of selected people who have not heard
of PL Melons before the first person who has heard of PL Melons is
found. Let Y be the number of selected people who have not heard of
PL Melons before the second person who has heard of PL Melons is
found. Suppose 27% of the population has heard of PL Melons.
a. What is the probability that none of the first four people
selected have heard of PL Melons??
b. What is the expected value of X?
c. What is the variance of X?
d. What is the probability that X = 0?
e. What is the probability that X ? 4?
f. What is the probability that Y = 6?
g. What is the probability that Y = 0?