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Chapter 5: Q 80. (page 330)

At the gym Suppose that 10%of adults belong to health clubs, and 40% of these health club members go to the club at least twice a week. What percent of all adults go to a health club at least twice a week? Write the information given in terms of probabilities, and use the general multiplication rule.

Short Answer

Expert verified

The percentage of all adults go to health club is 4%

Step by step solution

01

Step 1. Given Information

10% of adults subscribe to a fitness club, with 40% of these members going at least twice a week.

02

Step 2. Concept Used

Multiplication rule P(A∩B)=P(A∩B)×P(B/A)

03

Step 3. Calculation

According to the inquiry, P(healthclub)=10%=0.10

P(atleasttwice/healthclub)=40%=0.40

Use the rule of multiplication.

P(A∩B)=P(A)×P(B/A)

As a result, the following was obtained:

P(healthclub∩atleasttwice)=P(atleasttwice)×P(healthclub/atleasttwice)

=0.10×0.40=0.04=4%

As a result, 4% of all individuals visit a health club at least twice a week.

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