Question

Assume that when adults with smartphones are randomly​ selected, 41​% use them in meetings or classes. If 6 adult smartphone users are randomly​ selected, find the probability that exactly 4 of them use their smartphones in meetings or classes.
The probability is

Answer 1

Answer:

The probability is 0.0179 or 1.79%

Step-by-step explanation:

This is a binomial probability distribution.

The probability of success is

$p = 0.41$

The probability of failure is

$q = 1 - 0.41 = 0.59$

Use the formula;

$P(X=x)=^nC_xp^xq^{n-x}$

where n=6 is the number of trials and x=4 is the number of successes.

This implies that:

$P(X=4)=^6C_4(0.41)^4(0.59)^{6}$

This simplifies to:

$P(X=4) = 0.0179$