Question

Assume that when adults with smartphones are randomly selected, 64% use them in meetings or classes. If 5 adult smartphone users are randomly selected, find the probability that exactly 3 of them use their smartphones in meetings or classes. The probability is (Round to four decimal places as needed.)​

Answer 1

Answer:

$P(3) = 0.3397$

Step-by-step explanation:

The given details represent binomial distribution. So, we have:

$n = 5$

$p = 64\% = 0.64$

Required

Calculate P(3)

This is calculated using:

$P(x) = ^nC_x * p^x * (1- p)^{n-x}$

This gives:

$P(3) = ^5C_3 * 0.64^3 * (1- 0.64)^{5-3}$

$P(3) = 10 * 0.64^3 * 0.36^2$

$P(3) = 0.3397$