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Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340

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BuyFindarrow_forward

Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340
Textbook Problem

Physical activity The table gives the percent of U.S. residents who participated in no leisure-time physical activity, categorized by race or origin (Source: Centers for Disease Control and Prevention).

What is the probability that a Black person participated in no leisure-time physical activity?

What is the probability that a White person participated in no leisure-time physical activity?

Can we add the probabilities in the row to find the probability that a U.S. resident participated in no leisure-time physical activity? Explain?

White Black Hispanic Other

No leisure-time

physical activity 21.4 32.8 38.6 25.5

(a)

To determine

To calculate: The probability that a black person participated in no leisure-time physical activity, the data table is provided below,

White

Black

Hispanic

Other

No leisure-time physical time

21.4

32.8

38.6

25.5

Explanation

Given Information:

The percentage of U.S. residents according to their participation in no leisure-time physical activity is represented by the table,

White

Black

Hispanic

Other

No leisure-time physical time

21.4

32.8

38.6

25.5

Formula used:

The probability of an event occurring n(E) times out of n(S) equally likely ways, then,

Pr(E)=n(E)n(S)

Calculation:

Consider the event that a black person participated in no leisure-time physical activity, to be E.

Consider the provided table,

White

Black

Hispanic

Other

No leisure-time physical time

21

(b)

To determine

To calculate: The probability that a white person participated in no leisure-time physical activity, the data table is provided below,

White

Black

Hispanic

Other

No leisure-time physical time

21.4

32.8

38.6

25.5

(c)

To determine

Whether the probabilities in the provided table can be added to find the probability that a U.S. resident participated in no leisure-time physical activity.

White

Black

Hispanic

Other

No leisure-time physical time

21.4

32.8

38.6

25.5

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