# Thirty percent of consumers prefer to purchase electronics online. You randomly select 8consumers. Find the probability that the number of consumers who prefer to purchase electronics online is​ (a) exactly​ five, (b) more than​ five, and​ (c) at most five.

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Thirty percent of consumers prefer to purchase electronics online. You randomly select 8consumers. Find the probability that the number of consumers who prefer to purchase electronics online is​ (a) exactly​ five, (b) more than​ five, and​ (c) at most five.
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Step 1

Given:

Probability of success (p) = 0.30

Number of trials (n) = 8

Consider, X be the random variable that represents the number of consumers who prefer to purchase electronics online is binomially distributed with the parameters n= 8 and p = 0.30, that is,

Step 2

(a)

The probability that the number of consumers who prefer to purchase electronics online is exactly​ 5 can be computed as:

Step 3

(b)

The probability that the number of consumers who prefer to purch...

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