Chapter 9.2, Problem 33E

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10th Edition

Ron Larson

ISBN: 9781305860919

Textbook Problem

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**Using the Exponential Density Function** In Exercises 33-36, find the required probabilities using the *exponential probability density function*

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

**(a)**

To determine

**To calculate:** The probability of waiting less than *t*(in minutes) represents the time waiting time and

Explanation

**Given Information:**

The waiting time is exponentially distributed by the density function, *t*(in minutes) represents the time waiting time and

**Formula used:**

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

**Calculation:**

Consider the provided probability density function,

Since, the waiting time is less than

The interval in which probability lies is

Now, apply the formula of probability

Substitute the values 0 for *c*, 2 for *d* and

**(b)**

To determine

**To calculate:** The probability of waiting more than *t*(in minutes) represents the time waiting time and

**(c)**

To determine

**To calculate:** The probability of waiting at least *t*(in minutes) represents the time waiting time and

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