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10th Edition

Ron Larson

Publisher: Cengage Learning

ISBN: 9781305860919

Chapter 9, Problem 57RE

Textbook Problem

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**Waiting Time** The waiting time *t* (in minutes) for service at the checkout at a grocery store is exponentially distributed with a mean of 4 minutes.

(a) Find the probability density function for the random variable *t.*

(b) Find the probability that the waiting time is less than 10 minutes.

**(a)**

To determine

**To calculate:** The probability density function for the random variable *t* which is the waiting time (in minutes) at the checkout of a grocery store which is exponentially distributed with a mean of

**Given Information:**

The waiting time *t* (in minutes) at the checkout of a grocery store is exponentially distributed with a mean of

**Formula used:**

The probability density function exponential distribution for

Here,

**Calculation:**

Consider the provided information of the waiting time at the grocery store.

As *a* is calculated as,

Use the definition of exponential probability density function

**(b)**

To determine

**To calculate:** The probability that the waiting time is less than

Calculus: An Applied Approach (MindTap Course List)

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