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23.1% of flowers of a certain species bloom early (before May 1st). You work for an...

23.1% of flowers of a certain species bloom early (before May 1st). You work for an arboretum and have a display of these flowers.

Round all probabilities to 4 decimal places.

In a row of 25 flowers, what is the probability that fewer than 8 will bloom early?

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? Round your answer to two decimal places.

In a row of 45 flowers, what is the probability that more than 7 will bloom early?

In a row of 45 flowers, what is the probability that between 7 and 12 (inclusive) will bloom early?

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?

In a row of flowers, what is the probability that you will observe more than 5 flowers before you see the first one that blooms early?

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