Question

A large company claims that the average age of their employees is 32 years, with a standard deviation of 4 years. The average age of employees in the sales department at the company is 27 years. Given that the data is approximately normal, find the probability that an employee, chosen at random, will be younger than 27 years.

A.
89.44%
B.
10.56%
C.
23.58%
D.
76.42%

Answer 1

A. 10.57%

Explanation:

Just took the test dawg

Answer 2

Given that average age of employees of a large company is Normal

X - average age of employees

X:N(32,4)

The average age of employees in sales dept is 27 years.

Prob that an employee, chosen at random, will be younger than 27 years.

= P(X<27)

Let us convert x into Z

Z = (x-32)/4 = -5/4 = -1.25

Reqd prob = P(Z<-1.25) =0.5-0.3925

= 0.1075

Hence 10.56% is the correct answer.