Question

Assume that when adults with smartphones are randomly​ selected, 62​% use them in meetings or classes....

Assume that when adults with smartphones are randomly​ selected, 62​% use them in meetings or classes. If 9 adult smartphone users are randomly​ selected, find the probability that exactly 5 of them use their smartphones in meetings or classes.

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Solution

Given that ,

p = 0.62

1 - p = 1 - 0.62 = 0.38

n = 9

x = 5

Using binomial probability formula ,

P(X = x) = ((n! / x! (n - x)!) * px * (1 - p)n - x

P(X = 5) = ((9! / 5! (4)!) * 0.625 * (0.38)4

= 0.2407

Probability = 0.2404

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