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

Answer:

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

Step-by-step 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.

$P(c \leq X \leq d) = \frac{d - c}{b - a}$

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?

$P(23 \leq X \leq 52) = \frac{52 - 23}{65 - 18} = 0.6170$

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