A survey of magazine subscribers showed that rented a car during the past months for business reasons, rented a car during the past months for personal reasons, and rented a car during the past months for both business and personal reasons. Round your answers to three decimal places. a. What is the probability that a subscriber rented a car during the past months for business or personal reasons? b. What is the probability that a subscriber did not rent a car during the past months for either business or personal reasons?

Question

contestada

Respuesta :

MrRoyal MrRoyal · Answer 1 · 2020-09-30T09:00:32+02:00

Answer:

[tex]P(business\ or\ personal) = 69.8\%[/tex]

[tex]P(Not(business\ or\ personal)) = 30.2\%[/tex]

Step-by-step explanation:

The question has missing details; however, the giving parameters are:

[tex]P(business) = 45.8\%[/tex]

[tex]P(personal) = 54\%[/tex]

[tex]P(both) = 30\%[/tex]

Solving (a): Business or Personal

This is calculated as follows:

[tex]P(business\ or\ personal) = P(business) + P(personal) - P(both)[/tex]

[tex]P(business\ or\ personal) = 45.8\% + 54\% - 30\%[/tex]

[tex]P(business\ or\ personal) = 69.8\%[/tex]

Solving (b): Not business or personal

This is calculated using complements of probability;

[tex]P(Not(business\ or\ personal)) = 1 - P(business\ or\ personal)[/tex]

[tex]P(Not(business\ or\ personal)) = 1 - 69.8\%[/tex]

[tex]P(Not(business\ or\ personal)) = 30.2\%[/tex]