Assume that when adults with smartphones are randomly​ selected, 57​% 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 in meetings or classes.

Respuesta :

frika

The probability that randomly selected adult uses smartphone in meetings is p=0.57 and the probability that randomly selected adult doesn't use smartphone in meetings is q=1-p=1-0.57=0.43.

The probability that exactly 23 of 30 use their smartphones in meetings is

[tex]Pr=C_{30}^{23}p^{23}q^{30-23}=\dfrac{30!}{23!(30-23)!}\cdot (0.57)^{23}\cdot (0.43)^7=2,035,800\cdot (0.57)^{23}\cdot (0.43)^7\approx 0.013432.[/tex]