TABLE 4.6Sneakers are no longer just for the young. In fact, most adults own multiple pairs ofsneakers. Table 4.6 gives the fraction of U.S. adults 20 years of age and older whoown five or more pairs of wearable sneakers, along with the fraction of the U.S. adultpopulation 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.6Probability TableGroups and AgesG335-49Fraction with ≥ 5 Pairs.13Fraction of U.S. Adults 20 and Older.30G₁20-2426.09G₂25-34.20.18G450-6418.25G5≥ 65.14.18AI

Answered: TABLE 4.6 Sneakers are no longer just…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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
G3
35-49
Fraction with ≥ 5 Pairs
.13
Fraction of U.S. Adults 20 and Older
.30
G₁
20-24
26
.09
G₂
25-34
.20
.18
G4
50-64
18
.25
G5
≥ 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.

	Groups and Ages
	G1 (20-24)	G2 (25-34)	G3 (35-49)	G4 (50-64)	G5 (≥65)
Fraction with ≥ 5 pairs	0.26	0.2	0.13	0.18	0.14
Fraction of US Adult 20 and Older	0.09	0.18	0.3	0.25	0.18