22.1% 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 25 flowers, what is the probability that 6 will bloom early? b) In a row of 25 flowers, what is the probability that fewer than 7 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 50 flowers, what is the probability that more than 6 will bloom early? e) In a row of 50 flowers, what is the probability that between 9 and 13 (inclusive) will bloom early? f) In a row of flowers, what is the probability that you will have to observe 6 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?

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