Using the Exponential Density Function In Exercises 33-36, find the required probabilities using the exponential probability density function f ( t ) = 1 λ e − t λ , [ 0 , ∞ ) . Waiting Time The waiting time t (in minutes) for service at the checkout at a grocery store is exponentially distributed with λ = 3 . Find the probability of waiting (a) less than 2 minutes, (b) more than 2 minutes but less than 4 minutes, and (c) at least 2 minutes.

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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
Publisher: Cengage Learning
ISBN: 9781305860919
BuyFind

Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
Publisher: Cengage Learning
ISBN: 9781305860919

Solutions

Chapter 9.2, Problem 33E
Textbook Problem

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

f ( t ) = 1 λ e t λ , [ 0 , ) .

Waiting Time The waiting time t (in minutes) for service at the checkout at a grocery store is exponentially distributed with λ   =   3 . Find the probability of waiting (a) less than 2 minutes, (b) more than 2 minutes but less than 4 minutes, and (c) at least 2 minutes.

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Chapter 9 Solutions

Calculus: An Applied Approach (MindTap Course List)
Ch. 9.1 - In Exercises 3-6, evaluate the expression....Ch. 9.1 - In Exercises 3-6, evaluate the expression....Ch. 9.1 - In Exercises 7-10, write the fraction as a...Ch. 9.1 - In Exercises 710, write the fraction as a percent....Ch. 9.1 - In Exercises 710, write the fraction as a percent....Ch. 9.1 - In Exercises 710, write the fraction as a percent....Ch. 9.1 - Finding Sample Spaces and events In Exercises 14,...Ch. 9.1 - Finding Sample Spaces and events In Exercises 14,...Ch. 9.1 - Finding Sample Spaces and events In Exercises 14,...Ch. 9.1 - Finding Sample Spaces and events In Exercises 14,...Ch. 9.1 - Finding Frequency and Probability Distributions In...Ch. 9.1 - Finding Frequency and Probability Distributions In...Ch. 9.1 - Random Selection In a class of 72 students, 44 are...Ch. 9.1 - Random Selection A card is chosen at random from a...Ch. 9.1 - Determining a Missing Probability In Exercises 9...Ch. 9.1 - Determining a Missing Probability In Exercises 9...Ch. 9.1 - Identifying Probability Distributions In Exercises...Ch. 9.1 - 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Making a Probability Density Function In Exercises...Ch. 9.2 - Making a Probability Density Function In Exercises...Ch. 9.2 - Making a Probability Density Function In Exercises...Ch. 9.2 - Making a Probability Density Function In Exercises...Ch. 9.2 - Finding a Probability In Exercises 19-26, sketch...Ch. 9.2 - Finding a Probability In Exercises 19-26, sketch...Ch. 9.2 - Finding a Probability In Exercises 19-26, sketch...Ch. 9.2 - Finding a Probability In Exercises 19-26, sketch...Ch. 9.2 - Finding a Probability In Exercises 19-26, sketch...Ch. 9.2 - Finding a Probability In Exercises 19-26, sketch...Ch. 9.2 - Finding a Probability In Exercises 19-26, sketch...Ch. 9.2 - Finding a Probability In Exercises 19-26, sketch...Ch. 9.2 - Finding a Probability A probability density...Ch. 9.2 - Finding a Probability A probability density...Ch. 9.2 - Waiting Time Buses arrive and depart from a...Ch. 9.2 - Demand The daily demand for gasoline x (in...Ch. 9.2 - Learning Theory The time t (in hours) required for...Ch. 9.2 - 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