Question

The ages of applicants for management positions at a fast-food restaurant chain is normally distributed with a mean of 27 and a standard deviation of 3.464.

a. Define the random variable and its probability distribution.

b. What is the probability that the next applicant is younger than 20 years old?

c. What is the probability that the next applicant is between 30 and 40 years old?

d. Twenty percent of the applicants are younger than what age?

Answer 1

a. X=ages of applicants for management positions at a fast-food restaurant chain and it is normally distributed with mean=27 and sd=3.464

b. We need to find

As distribution is normal we can convert x to z

c.

d. Here we need to find x such that

Using z table we get

So

So