Chapter 9.1, Problem 19E

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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, |
14 and under | 15-24 | 25-34 | 35-44 | 45-55 | 55-64 | 65 and above |

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, |
14 and under | 15-24 | 25-34 | 35-44 | 45-55 | 55-64 | 65 and above |

0.210 | 0.296 | 0.204 | 0.185 | 0.080 | 0.022 |

**Graph:**

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

Age, |

**(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, |
14 and under | 15-24 | 25-34 | 35-44 | 45-55 | 55-64 | 65 and above |

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, |
14 and under | 15-24 | 25-34 | 35-44 | 45-55 | 55-64 | 65 and above |

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, |
14 and under | 15-24 | 25-34 | 35-44 | 45-55 | 55-64 | 65 and above |

0.210 | 0.296 | 0.204 | 0.185 | 0.080 | 0.022 |

Sect-9.1 P-1CPSect-9.1 P-2CPSect-9.1 P-3CPSect-9.1 P-4CPSect-9.1 P-5CPSect-9.1 P-6CPSect-9.1 P-1SWUSect-9.1 P-2SWUSect-9.1 P-3SWUSect-9.1 P-4SWU

Sect-9.1 P-5SWUSect-9.1 P-6SWUSect-9.1 P-7SWUSect-9.1 P-8SWUSect-9.1 P-9SWUSect-9.1 P-10SWUSect-9.1 P-1ESect-9.1 P-2ESect-9.1 P-3ESect-9.1 P-4ESect-9.1 P-5ESect-9.1 P-6ESect-9.1 P-7ESect-9.1 P-8ESect-9.1 P-9ESect-9.1 P-10ESect-9.1 P-11ESect-9.1 P-12ESect-9.1 P-13ESect-9.1 P-14ESect-9.1 P-15ESect-9.1 P-16ESect-9.1 P-17ESect-9.1 P-18ESect-9.1 P-19ESect-9.1 P-20ESect-9.1 P-21ESect-9.1 P-22ESect-9.1 P-23ESect-9.1 P-24ESect-9.1 P-25ESect-9.1 P-26ESect-9.1 P-27ESect-9.1 P-28ESect-9.1 P-29ESect-9.1 P-30ESect-9.1 P-31ESect-9.1 P-32ESect-9.1 P-33ESect-9.1 P-35ESect-9.1 P-36ESect-9.1 P-37ESect-9.1 P-38ESect-9.2 P-1CPSect-9.2 P-2CPSect-9.2 P-3CPSect-9.2 P-4CPSect-9.2 P-5CPSect-9.2 P-1SWUSect-9.2 P-2SWUSect-9.2 P-3SWUSect-9.2 P-4SWUSect-9.2 P-5SWUSect-9.2 P-6SWUSect-9.2 P-7SWUSect-9.2 P-1ESect-9.2 P-2ESect-9.2 P-3ESect-9.2 P-4ESect-9.2 P-5ESect-9.2 P-6ESect-9.2 P-7ESect-9.2 P-8ESect-9.2 P-9ESect-9.2 P-10ESect-9.2 P-11ESect-9.2 P-12ESect-9.2 P-13ESect-9.2 P-14ESect-9.2 P-15ESect-9.2 P-16ESect-9.2 P-17ESect-9.2 P-18ESect-9.2 P-19ESect-9.2 P-20ESect-9.2 P-21ESect-9.2 P-22ESect-9.2 P-23ESect-9.2 P-24ESect-9.2 P-25ESect-9.2 P-26ESect-9.2 P-27ESect-9.2 P-28ESect-9.2 P-29ESect-9.2 P-30ESect-9.2 P-31ESect-9.2 P-32ESect-9.2 P-33ESect-9.2 P-34ESect-9.2 P-35ESect-9.2 P-36ESect-9.2 P-37ESect-9.2 P-38ESect-9.2 P-39ESect-9.3 P-1CPSect-9.3 P-2CPSect-9.3 P-3CPSect-9.3 P-4CPSect-9.3 P-5CPSect-9.3 P-6CPSect-9.3 P-7CPSect-9.3 P-1SWUSect-9.3 P-2SWUSect-9.3 P-3SWUSect-9.3 P-4SWUSect-9.3 P-5SWUSect-9.3 P-6SWUSect-9.3 P-1ESect-9.3 P-2ESect-9.3 P-3ESect-9.3 P-4ESect-9.3 P-5ESect-9.3 P-6ESect-9.3 P-7ESect-9.3 P-8ESect-9.3 P-9ESect-9.3 P-10ESect-9.3 P-11ESect-9.3 P-12ESect-9.3 P-13ESect-9.3 P-14ESect-9.3 P-15ESect-9.3 P-16ESect-9.3 P-17ESect-9.3 P-18ESect-9.3 P-19ESect-9.3 P-20ESect-9.3 P-21ESect-9.3 P-22ESect-9.3 P-23ESect-9.3 P-24ESect-9.3 P-25ESect-9.3 P-26ESect-9.3 P-27ESect-9.3 P-28ESect-9.3 P-29ESect-9.3 P-30ESect-9.3 P-31ESect-9.3 P-32ESect-9.3 P-33ESect-9.3 P-34ESect-9.3 P-35ESect-9.3 P-36ESect-9.3 P-37ESect-9.3 P-38ESect-9.3 P-39ESect-9.3 P-40ESect-9.3 P-41ESect-9.3 P-42ESect-9.3 P-43ESect-9.3 P-44ESect-9.3 P-45ESect-9.3 P-46ESect-9.3 P-47ESect-9.3 P-48ESect-9.3 P-49ESect-9.3 P-50ESect-9.3 P-54ESect-9.3 P-55ESect-9.3 P-56ESect-9.3 P-57ECh-9 P-1RECh-9 P-2RECh-9 P-3RECh-9 P-4RECh-9 P-5RECh-9 P-6RECh-9 P-7RECh-9 P-8RECh-9 P-9RECh-9 P-10RECh-9 P-11RECh-9 P-12RECh-9 P-13RECh-9 P-14RECh-9 P-15RECh-9 P-16RECh-9 P-17RECh-9 P-18RECh-9 P-19RECh-9 P-20RECh-9 P-21RECh-9 P-22RECh-9 P-23RECh-9 P-24RECh-9 P-25RECh-9 P-26RECh-9 P-27RECh-9 P-28RECh-9 P-29RECh-9 P-30RECh-9 P-31RECh-9 P-32RECh-9 P-33RECh-9 P-34RECh-9 P-35RECh-9 P-36RECh-9 P-37RECh-9 P-38RECh-9 P-39RECh-9 P-40RECh-9 P-41RECh-9 P-42RECh-9 P-43RECh-9 P-44RECh-9 P-45RECh-9 P-46RECh-9 P-47RECh-9 P-48RECh-9 P-49RECh-9 P-50RECh-9 P-51RECh-9 P-52RECh-9 P-53RECh-9 P-54RECh-9 P-55RECh-9 P-56RECh-9 P-57RECh-9 P-58RECh-9 P-59RECh-9 P-60RECh-9 P-61RECh-9 P-62RECh-9 P-1TYSCh-9 P-2TYSCh-9 P-3TYSCh-9 P-4TYSCh-9 P-5TYSCh-9 P-6TYSCh-9 P-7TYSCh-9 P-8TYSCh-9 P-9TYSCh-9 P-10TYSCh-9 P-11TYSCh-9 P-12TYSCh-9 P-13TYSCh-9 P-14TYSCh-9 P-15TYSCh-9 P-16TYS

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