21.5% of flowers of a certain species bloom "early" (before May 1st). You work for an arboretum and have a display of these flowers.
a) In a row of 30 flowers, what is the probability that 6 will bloom early?
b) In a row of 30 flowers, what is the probability that fewer than 8 will bloom early?
c) As you walk down a row of these flowers, how many flowers do you expect to have to observe (on average) in order to see the first one that blooms early? (Keep your answer as a decimal.)
d) In a row of 25 flowers, what is the probability that more than 8 will bloom early?
e) In a row of 25 flowers, what is the probability that between 4 and 7 (inclusive) will bloom early?
f) In a row of flowers, what is the probability that you will have to observe 5 flowers in order to see the first one that blooms early?
g) In a row of flowers, what is the probability that you will observe more than 8 flowers to see the first one that blooms early?