Assume that when adults with smartphones are randomly selected, 41% 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. Round your answer to four decimal places as needed.

Answer:

Given Data:

The Probability of Success $(p)=0.41$

The Sample Size $(n)=8$

Solution:

If 8 adult smartphone users are randomly selected, the probability that exactly 5 of them use their smartphones in meetings or classes:

$P(x=5)=(nCx)p^x(1–p{)}^{n–x}$

$P(x=5)=(8C5)\times {0.41}^5\times (1–0.41{)}^{8–5}$

$P(x=5)=0.13324881$

$\therefore P(x=5)\approx 0.1332$

Final Answer:

The probability that exactly 5 of them use their smartphones in meetings or classes $=0.1332$