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Suppose that you have a very old packet of garden pea seeds and that you plant 4 of these seeds in separate plots, treating them

Suppose that you have a very old packet of garden pea seeds and that you plant 4 of these seeds in separate plots, treating them all identically. You know from your reading that each seed this old have only a 20% chance of germinating. Define the random variable X to be the number of these seeds that germinate.

(a.) Verify that the random variable X has a Binomial probability distribution, identifying the values of n and p.

(b.) Use the Binomial probability formula to find the probability that at least 3 of the plants will germinate. That is, find P(X > 3).

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