Question

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.

Answer 1

Answer:

4% of all adults go to a health club at least twice a week

Step-by-step explanation:

• the proportion of adults who belong to health clubs is 10% that is 0.10

• the proportion of these adults (health club members) go to the club at least twice a week is 40%, that is 0.40.

Thus, the proportion of all adults go to a health club at least twice a week is

0.10 × 0.40 = 0.04, that is 4%

Answer 2

Using the multiplication rule, the proportion of adults who go to the club atleast twice a week is 0.04.

• Proportion of adults who belong to health clubs = 10%
• Proportion of those who belong to clubs that go atleast twice a week = 40%

Therefore, the proportion of adults who go to clubs atleast twice a week can be obtained thus :

• 10% × 40%

0.10 × 0.40 = 0.04

Hence, the required probability is 0.04.

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