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 3 of them say job applicants should follow up within two weeks.

Answer 1

To find the probability that exactly 3 out of 5 human resource managers say job applicants should follow up within two weeks, use the binomial probability formula.

Step-by-step explanation:

To find the probability that exactly 3 out of 5 randomly selected human resource managers say job applicants should follow up within two weeks, we can use the binomial probability formula.

The formula is:

P(X=k) = (n choose k) * p^k * (1-p)^(n-k)

where:

• n is the number of trials (5 in this case)
• k is the number of successes (3 in this case)
• p is the probability of success (44% or 0.44 in decimal form)

Plugging in the values:

P(X=3) = (5 choose 3) * (0.44)^3 * (1-0.44)^(5-3)

P(X=3) = (10) * (0.44)^3 * (0.56)^2

P(X=3) ≈ 0.27023

The probability that exactly 3 out of 5 randomly selected human resource managers say job applicants should follow up within two weeks is approximately 0.27023, or 27.02%.