Question

Assume that when adults with smartphones are randomly​ selected, 48​% use them in meetings or classes. If 8 adult smartphone users are randomly​ selected, find the probability that exactly 5 of them use their smartphones in meetings or classes.
The probability is __?

Answer 1

Answer:

The probability is 2.2%

Step-by-step explanation:

The probability that a randomly selected adult uses the telephone in classes is always equal to 0.48.

If x represents the number of adults selected from among the 8 that the telephone uses in classes, then x is a discrete random variable that follows a binomial distribution, with:

p = 0.48

q = 0.52

n = 8

We want to find the probability of x = 5

$P(x) = \frac{n!}{x!(n-x)!} *p ^ n *q ^{n-x}\\\\ P(x = 5) = \frac{8!}{5!(8-5)!} * 0.48 ^ 8 * 0.52 ^ 3\\\\ P(x = 5) = 0.02218$

The probability is 2.2%