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.
[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]
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 [tex]a = 18, b = 65[/tex]. So
(a) what is the probability that he or she will be between 23 and 52 years of age?
[tex]P(23 \leq X \leq 52) = \frac{52 - 23}{65 - 18} = 0.6170[/tex]
61.70% probability that he or she will be between 23 and 52 years of age
