Find the probability

Question

Assume that when adults with smartphones are randomly​ selected, 37​% use them in meetings or classes. If 9 adult smartphone users are randomly​ selected, find the probability that exactly 6 of them use their smartphones in meetings or classes.

Answer 1

This is a binomial probability. We will use the following parameters: n = 9, p = 0.37 where p is the success probability for adults using smartphones during meetings or classes.

C(9,6) = 9!/(6!*3!) = 84 ways of selecting 6 adults with smartphones who use them during meetings or classes

P(X=6) = 84*(0.37)⁶ * (0.63)³ = 0.053890384076862732 ≈ 0.05389

The probability that exactly 6 adults use their smartphones in meetings or classes is about 0.05389.