Chapter 9.2, Problem 29E

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10th Edition

Ron Larson

ISBN: 9781305860919

Textbook Problem

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**Waiting Time** Buses arrive and depart from a college every 30 minutes. The probability density function for the waiting time *t* (in minutes) for a person arriving at the bus stop is

Find the probability that the person will wait (a) no more than 5 minutes and (b) at least 18 minutes.

**(a)**

To determine

**To calculate:** The probability that a person, who is waiting for the bus not more than *t* (in minute) for a man who is arriving at the bus stop is represented by the function

Explanation

**Given Information:**

The probability density for the waiting time *t* (in minute) for a man who is arriving at the bus stop is represented by the function

**Formula used:**

If *f* is function of a continuous random variable *x*, then the probability that *x* lies in the interval

**Calculation:**

Consider the provided probability density function,

Since, the person is not waiting for the bus more than

The interval in which probability lies is

Now, apply the formula of probability

**(b)**

To determine

**To calculate:** The probability that a person, who is waiting for the bus at least *t* (in minute) for a man who is arriving at the bus stop is represented by the function

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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