The entertainment sports industry employs athletes, coaches, referees, and related workers. Of these, 0.35 work part time and 0.52 earn more than $20,540 annually. If 0.3 of these employees work full time and earn more than $20,540, what proportion of the industry's employees are full time or earn more than $20,540

0.87

Step-by-step explanation:

let A be the event that employees work full time

Pr (A) = 1 - 0.35 = 0.65 (given : Pr (employee work part time) = 0.35)

let B be the event that employees earn more than $20,540

Pr (B) = 0.52

Pr (employee work full time and earn more than $20,540) = 0.3

Pr (A∩B) = 0.3

we know that

Pr (employee work full time or earn more than $20,540) = Pr (A∪B)

Also

Pr (A∪B) = Pr (A) + Pr (B) - Pr (A∩B)

= 0.65 + 0.52 - 0.3

= 1.17 - 0.30

= 0.87