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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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Health The table shows the probability distribution of the numbers of HIV cases diagnosed in the United States in 2013 by age group. (Source: U.S. Centers for Disease Control and Prevention)

Age, a 14 and under 15-24 25-34 35-44
P(a) 0.005 0.210 0.296 0.204
Age, a 45-54 55-64 65 and over
P(a) 0.183 0.080 0.022

Spreadsheet at LarsonAppliedCalculus.com

(a) Sketch the probability distribution.

(b) Find the probability that an individual diagnosed with HIV was from 15 to

44 years of age.

(c) Find the probability that an individual diagnosed with HIV was at least 35 years of age.

(d) Find the probability that an individual diagnosed with HIV was at most 24 years of age.

(a)

To determine

To graph: The probability distribution curve for the probability distribution,

Age, a 14 and under 15-24 25-34 35-44 45-55 55-64 65 and above
P(a) 0.005 0.210 0.296 0.204 0.185 0.080 0.022
Explanation

Given Information:

Probability distribution of the number of HIV cases diagnosed by age group,

Age, a 14 and under 15-24 25-34 35-44 45-55 55-64 65 and above
P(a) 0.005 0.210 0.296 0.204 0.185 0.080 0.022

Graph:

To plot the probability distribution curve, use the table as;

Age, a

(b)

To determine

To calculate: The probability that an individual diagnosed with HIV was from 15 to 44 years of age for probability distribution table.

Age, a 14 and under 15-24 25-34 35-44 45-55 55-64 65 and above
P(a) 0.005 0.210 0.296 0.204 0.185 0.080 0.022

(c)

To determine

To calculate: The probability that an individual diagnosed with HIV was at least 35 years of age for probability distribution table.

Age, a 14 and under 15-24 25-34 35-44 45-55 55-64 65 and above
P(a) 0.005 0.210 0.296 0.204 0.185 0.080 0.022

(d)

To determine

To calculate: The probability that an individual diagnosed with HIV was at most 24 years of age for probability distribution table.

Age, a 14 and under 15-24 25-34 35-44 45-55 55-64 65 and above
P(a) 0.005 0.210 0.296 0.204 0.185 0.080 0.022

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