Answer to Question #230408 in Statistics and Probability for MAabde

Question

Assume that when adults with smartphones are randomly​ selected, 59​% use them in meetings or classes. If 15 adult smartphone users are randomly​ selected, find the probability that exactly 10 of them use their smartphones in meetings or classes.

Answer 1

Let X will be the number of adults with smartphone which use them in meetings or classes.

X~Binomial(15, 0.59)

$P(X=x) = C^{15}_x(0.59)^x(1-0.59)^{15-x}$

You have to find the probability that exactly 10 of them use their smartphones in meetings or classes.

$P(X=10) = C^{15}_{10} (0.59)^{10} (1-0.59)^{15-10} \\ = \frac{15!}{10!(15-10)!}(0.59)^{10}(0.41)^5 \\ = 3003 \times 0.00511 \times 0.01158 \\ = 0.17782$

Answer: P=0.17782