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 $=0.1332$