Question

Assume that when human resource managers are randomly​ selected, 44​% say job applicants should follow up within two weeks. If 5 human resource managers are randomly​ selected, find the probability that exactly 2 of them say job applicants should follow up within two weeks.

The probability is ....

Answer 1

Answer: 3.4%

Explanation:

There's a 44% chance that if you pick a random human resource manager, then he will say job applicants should follow up.

So let's look at these 5 people individually then.

The question asks you to find the probability that exactly 2 will say yes.

So the probability of 1 person saying yes is 0.44, probability of another person saying yes is 0.44, the probability of a person saying no is 0.56, and so on.

With this reasoning, we will come up with 0.44 * 0.44 * 0.56*0.56 * 0.56

or 0.44^2 * 0.56^3 or 0.033999 = 3.4%