Assume that when adults with smartphones are randomly selected, 49% use them in meetings or classes. If 30 adult smartphone users are randomly selected, find the probability that exactly 23 of them use their smartphones

Answer: 0.0013684

Step-by-step explanation:

Given the following:

Probability (p) = 49% = 0.49

Number of selected adults (n) = 30

Find the probability that exactly 23 use their smartphone.

The problem is abive can be solved using the binomial probability function.

Binomial probability:

P (X = x) = [n! / x! (n-x) !] * P^x * (1 - P) ^ (n-x)

At x = 23

P (X = 23) = [30! / 23! (30-23) !] * P^23 * (1-0.49) ^ (30-23)

P (X = 23) = [30! / 23! (7) !] * 0.49^23 * (0.51) ^7

P (X = 23) = (2035800) * 6.72203E-10

= 0.0013684