Question

Assume that when adults with smartphones
are randomly selected, 58% use them in
meetings or classes. If 5 adult smartphone
users are randomly selected, find the
probability that exactly 3 of them use their
smartphones in meetings or classes.
The probability is

Answer 1

The probability that exactly 3 of them use their smartphones in meetings or classes is 0.344 , 34.4 %

What is Probability ?

Probability is the study of the possibility of an event to happen.

The probability of the people using smartphone is 58% = 0.58

The probability of people not using the smartphone is (1 - 0.58) =0.42

If 5 adult smartphone users are randomly selected

the probability that exactly 3 of them use their smartphones in meetings or classes is = ?

n = 5 , r =3 , p =0.58 , q = 0.42

P(x =3)

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

$\rm P = ^5 C_3 0.58^3 0.42^{5-3}\\\\ P = \dfrac{5!}{3! 2! } * \; 0.58^3 0.42^{2}$

P = 0.344

Therefore , The probability that exactly 3 of them use their smartphones in meetings or classes is 0.344 , 34.4 %

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