Question

The U.S. Bureau of Labor Statistics releases figures on the number of full-time wage and salary workers with flexible schedules. The numbers of full-time wage and salary workers in each age category are almost uniformly distributed by age, with ages ranging from 18 to 65 years. If a worker with a flexible schedule is randomly drawn from the U.S. workforce,

(a) what is the probability that he or she will be between 23 and 52 years of age?

Answer 1

61.70% probability that he or she will be between 23 and 52 years of age

Explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X between c and d is given by the following formula.

`P(c \leq X \leq d) = (d - c)/(b - a)`

The numbers of full-time wage and salary workers in each age category are almost uniformly distributed by age, with ages ranging from 18 to 65 years.

This means that
`a = 18, b = 65`. So

(a) what is the probability that he or she will be between 23 and 52 years of age?

`P(23 \leq X \leq 52) = (52 - 23)/(65 - 18) = 0.6170`

61.70% probability that he or she will be between 23 and 52 years of age