TABLE 4.6 Sneakers are no longer just for the young. In fact, most adults own multiple pairs of sneakers. Table 4.6 gives the fraction of U.S. adults 20 years of age and older who own five or more pairs of wearable sneakers, along with the fraction of the U.S. adult population 20 years or older in each of five age groups. Use the Law of Total Prob- ability to determine the unconditional probability of an adult 20 years and older own- ing five or more pairs of wearable sneakers. 6 Probability Table Groups and Ages G₁ 50-64 Fraction with ≥ 5 Pairs .18 Fraction of U.S. Adults 20 and Older 25 G₁ 20-24 26 .09 G₂ G₂ 25-34 35-49 .20 .13 .18 .30 G₁ ≥ 65 .14 .18
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Sneakers are no longer just for the young. In fact, most adults own multiple pairs of sneakers. Table gives the fraction of US adults 20 years of age and older who own five or more pairs of wearable sneakers, along with the fraction of the US adult population 20 years or older in each of five age groups.
(1) Find the probability that the person owned at least five pairs of wearable sneakers.
(2) Find the probability that the person selected was 65 years of age or older, given that the person owned at least five pairs of wearable sneakers.
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Groups and Ages |
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G1 (20-24) |
G2 (25-34) |
G3 (35-49) |
G4 (50-64) |
G5 (≥65) |
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Fraction with ≥ 5 pairs |
0.26 |
0.2 |
0.13 |
0.18 |
0.14 |
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Fraction of US Adult 20 and Older |
0.09 |
0.18 |
0.3 |
0.25 |
0.18 |
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