The National Sporting Goods Association conducted a survey of persons 7 years of

Question

The National Sporting Goods Association conducted a survey of persons 7 years of age or older about participation in sports activities (Statistical Abstract of the United States: 2002). The total population in this age group was reported at 248.5 million, with 120.9 million male and 127.6 million female. The number of participants for the top five sports activities appears here.

For a randomly selected female, estimate the probability of participation in each of the sports activities (to 2 decimals). Note that the probabilities do not sum to 1 because of participation in more than one sports activity.

For a randomly selected male, estimate the probability of participation in each of the sports activities (to 2 decimals). Note that the probabilities do not sum to 1 because of participation in more than one sports activity.

For a randomly selected person, what is the probability the person participates in exercise walking (to 2 decimals)?

Suppose you just happen to see an exercise walker going by. What is the probability the walker is a woman (to 2 decimals)?


What is the probability the walker is a man (to 2 decimals)?

Participants (millions) Activity Male Female Bicycle riding 23.7 19.5 Camping 27.1 25.8 Exercise walking 30.2 59.2 Exercising with equipment 21.9 25.9 Swimming 24.9 32.9

Explanation / Answer

dividing each cell with its total in female category:

For a randomly selected female, estimate the probability of participation in each of the sports activities:

For a randomly selected male, estimate the probability of participation in each of the sports activities

For a randomly selected person, what is the probability the person participates in exercise walking =total exercise walking person/total person =89.4/291.1 =0.31

probability the walker is a woman given exercise walker =59.2/(30.2+59.2)=0.66

probability the walker is a man =30.2/(30.2+59.2)=0.34

female Bicycle riding 0.12 Camping 0.16 Exercise walking 0.36 Exercising with equipment 0.16 Swimming 0.20

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