{Exercise 4.19 (Algorithmic)} For a randomly selected person, what is the probab

Question

{Exercise 4.19 (Algorithmic)}

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)?

{Exercise 4.19 (Algorithmic)}

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.
Participants (millions) Activity Male Female Bicycle riding 20.7 19.5 Camping 27.1 25.8 Exercise walking 27.2 59.2 Exercising with equipment 21.9 25.9 Swimming 27.9 35.9

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.
Bicycle riding Camping Exercise walking Exercising with equipment Swimming

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.
Bicycle riding Camping Exercise walking Exercising with equipment Swimming

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)?

Explanation / Answer

for above table"

a)

below is conditional probability for a female:

b)

below is conditional probability for a male:

c)

probability the person participates in exercise walking =(86.4/291.1)=0.30

d)

probability the walker is a woman given  exercise walker =59.2/86.4=0.69

e)probability the walker is a man =27.2/86.4=0.31

male female totoal Bicycle riding 20.7 19.5 40.2 Camping 27.1 25.8 52.9 Exercise walking 27.2 59.2 86.4 Exercising with equipment 21.9 25.9 47.8 Swimming 27.9 35.9 63.8 total 124.8 166.3 291.1

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