Question

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

Answer 1

The probability that exactly 6 of 8 adult use their smartphones in meetings or classes is 0.147 or 14.7% .

The complete question is

Assume that when adults with smartphones are randomly selected, 54% use them in meetings or classes (based on data from an LG Smartphone survey). If 8 adult smartphone users are randomly selected, find the probability that exactly 6 of them use their smartphones in meetings or classes.

What is Probability ?

Probability is the measure of likeliness of an event to happen.

The probability given is

p = 54% = 0.54

n =8

r = 6

The binomial Probability is given by

$\rm P(x) = ^n C_r p^r q^{n-r}$

The probability that exactly 6 people use smartphones in a class of 8 student is given by

$P(x) = \dfrac{n!}{r! (n-r)!} p^r q^{n-r}$

Here q represents the complement

q = 1 -p

q = 1-0.54 = 0.46

$P(6) = \dfrac{8!}{6! (2)!} 0.54^6 0.46^{2}\\\\\P(6) = \dfrac{8 * 7}{ 2} 0.54^6 0.46^{2}\\\P(6) = 0.147$

Therefore The probability that exactly 6 of 8 adult use their smartphones  in meetings or classes is 0.147 or 14.7% .

To know more Probability

brainly.com/question/11234923

#SPJ1