Let X equal the number out of n = 48 mature aster seeds

Chapter 5, Problem 4E

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QUESTION:

Problem 4E

Let X equal the number out of n = 48 mature aster seeds that will germinate when p = 0.75 is the probability that a particular seed germinates. Approximate P(35 ≤ X ≤ 40).

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QUESTION:

Problem 4E

Let X equal the number out of n = 48 mature aster seeds that will germinate when p = 0.75 is the probability that a particular seed germinates. Approximate P(35 ≤ X ≤ 40).

ANSWER:

Step 1 of 4

The number of successes among a fixed number of trials follows a binomial distribution. The binomial distribution can be approximated by the normal distribution by the central limit theorem.

The mean of a binomial distribution is the product of the sample size  and the probability

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