Calculus: An Applied Approach (MindTap Course List)
Calculus: An Applied Approach (MindTap Course List)
10th Edition
ISBN: 9781305860919
Author: Ron Larson
Publisher: Cengage Learning
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Chapter 9.3, Problem 19E

Using Technology In Exercises 17-22, use a symbolic integration utility to find the mean, variance, and standard deviation of the probability density function. Then find the percent of the distribution that lies within the given standard deviations of the mean. See Example 3.

Function StandardDeviations

f ( x ) = 1 6 e x / 6 ,   0 x <             0.5

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Chapter 9 Solutions

Calculus: An Applied Approach (MindTap Course List)

Ch. 9.1 - Prob. 5SWUCh. 9.1 - Prob. 6SWUCh. 9.1 - Prob. 7SWUCh. 9.1 - Prob. 8SWUCh. 9.1 - Prob. 9SWUCh. 9.1 - Prob. 10SWUCh. 9.1 - Prob. 1ECh. 9.1 - Prob. 2ECh. 9.1 - Prob. 3ECh. 9.1 - Prob. 4ECh. 9.1 - Prob. 5ECh. 9.1 - Prob. 6ECh. 9.1 - Prob. 7ECh. 9.1 - Random Selection A card is chosen at random from a...Ch. 9.1 - Prob. 9ECh. 9.1 - Prob. 10ECh. 9.1 - Identifying Probability Distributions In Exercises...Ch. 9.1 - Prob. 12ECh. 9.1 - Prob. 13ECh. 9.1 - Prob. 14ECh. 9.1 - Prob. 15ECh. 9.1 - Using Probability Distributions In Exercises 1518,...Ch. 9.1 - Prob. 17ECh. 9.1 - Prob. 18ECh. 9.1 - Prob. 19ECh. 9.1 - Children The table shows the probability...Ch. 9.1 - Prob. 21ECh. 9.1 - Die Roll Consider the experiment of rolling a...Ch. 9.1 - Prob. 23ECh. 9.1 - Prob. 24ECh. 9.1 - Prob. 25ECh. 9.1 - Prob. 26ECh. 9.1 - Prob. 27ECh. 9.1 - Prob. 28ECh. 9.1 - Prob. 29ECh. 9.1 - Personal Income The probability distribution of...Ch. 9.1 - Insurance An insurance company needs to determine...Ch. 9.1 - Insurance An insurance company needs to determine...Ch. 9.1 - Baseball A baseball fan examined the record of a...Ch. 9.1 - Games of Chance If x is a players net gain in a...Ch. 9.1 - Games of Chance If x is a players net gain in a...Ch. 9.1 - Prob. 37ECh. 9.1 - Prob. 38ECh. 9.2 - Prob. 1CPCh. 9.2 - Prob. 2CPCh. 9.2 - Prob. 3CPCh. 9.2 - Prob. 4CPCh. 9.2 - Prob. 5CPCh. 9.2 - Prob. 1SWUCh. 9.2 - Prob. 2SWUCh. 9.2 - Prob. 3SWUCh. 9.2 - Prob. 4SWUCh. 9.2 - Prob. 5SWUCh. 9.2 - Prob. 6SWUCh. 9.2 - Prob. 7SWUCh. 9.2 - Prob. 1ECh. 9.2 - Prob. 2ECh. 9.2 - Prob. 3ECh. 9.2 - Prob. 4ECh. 9.2 - Prob. 5ECh. 9.2 - Prob. 6ECh. 9.2 - Prob. 7ECh. 9.2 - Prob. 8ECh. 9.2 - Prob. 9ECh. 9.2 - Prob. 10ECh. 9.2 - Prob. 11ECh. 9.2 - Prob. 12ECh. 9.2 - Prob. 13ECh. 9.2 - Prob. 14ECh. 9.2 - Prob. 15ECh. 9.2 - Making a Probability Density Function In Exercises...Ch. 9.2 - Prob. 17ECh. 9.2 - Prob. 18ECh. 9.2 - Prob. 19ECh. 9.2 - Finding a Probability In Exercises 19-26, sketch...Ch. 9.2 - Prob. 21ECh. 9.2 - Prob. 22ECh. 9.2 - Prob. 23ECh. 9.2 - Prob. 24ECh. 9.2 - Prob. 25ECh. 9.2 - Finding a Probability In Exercises 19-26, sketch...Ch. 9.2 - Prob. 27ECh. 9.2 - Prob. 28ECh. 9.2 - Prob. 29ECh. 9.2 - Demand The daily demand for gasoline x (in...Ch. 9.2 - Prob. 31ECh. 9.2 - Prob. 32ECh. 9.2 - Using the Exponential Density Function In...Ch. 9.2 - Prob. 34ECh. 9.2 - Using the Exponential Density Function In...Ch. 9.2 - Prob. 36ECh. 9.2 - Prob. 37ECh. 9.2 - Demand The weekly demand x (in tons) for a certain...Ch. 9.2 - Prob. 39ECh. 9.3 - Prob. 1CPCh. 9.3 - Find the variance and standard deviation of the...Ch. 9.3 - Use a symbolic integration utility to find the...Ch. 9.3 - Prob. 4CPCh. 9.3 - Prob. 5CPCh. 9.3 - Prob. 6CPCh. 9.3 - Prob. 7CPCh. 9.3 - Prob. 1SWUCh. 9.3 - Prob. 2SWUCh. 9.3 - Prob. 3SWUCh. 9.3 - Prob. 4SWUCh. 9.3 - Prob. 5SWUCh. 9.3 - Prob. 6SWUCh. 9.3 - Finding Expected Value, Variance, and Standard...Ch. 9.3 - Prob. 2ECh. 9.3 - Prob. 3ECh. 9.3 - Prob. 4ECh. 9.3 - Finding Expected Value, Variance, and Standard...Ch. 9.3 - Prob. 6ECh. 9.3 - Prob. 7ECh. 9.3 - Prob. 8ECh. 9.3 - Prob. 9ECh. 9.3 - Prob. 10ECh. 9.3 - Prob. 11ECh. 9.3 - Finding Expected Value, Variance, and Standard...Ch. 9.3 - Prob. 13ECh. 9.3 - Using Two Methods In Exercises 13-16, find the...Ch. 9.3 - Prob. 15ECh. 9.3 - Using two Methods In Exercises 1316, find the...Ch. 9.3 - Using Technology In Exercises 17-22, use a...Ch. 9.3 - Using Technology In Exercises 17-22, use a...Ch. 9.3 - Using Technology In Exercises 17-22, use a...Ch. 9.3 - Using Technology In Exercises 17-22, use a...Ch. 9.3 - Prob. 21ECh. 9.3 - Prob. 22ECh. 9.3 - Prob. 23ECh. 9.3 - Prob. 24ECh. 9.3 - Prob. 25ECh. 9.3 - Prob. 26ECh. 9.3 - Prob. 27ECh. 9.3 - Prob. 28ECh. 9.3 - Prob. 29ECh. 9.3 - Prob. 30ECh. 9.3 - Prob. 31ECh. 9.3 - Prob. 32ECh. 9.3 - Prob. 33ECh. 9.3 - Prob. 34ECh. 9.3 - Prob. 35ECh. 9.3 - Prob. 36ECh. 9.3 - Consumer Trends The number of coupons x used by a...Ch. 9.3 - Prob. 38ECh. 9.3 - Prob. 39ECh. 9.3 - Prob. 40ECh. 9.3 - Transportation The arrival time t (in minutes) of...Ch. 9.3 - Prob. 42ECh. 9.3 - Prob. 43ECh. 9.3 - Prob. 44ECh. 9.3 - Prob. 45ECh. 9.3 - License Renewal The waiting time t (in minutes) at...Ch. 9.3 - Demand The daily demand x for a certain product...Ch. 9.3 - Prob. 48ECh. 9.3 - Demand The daily demand x for water (in millions...Ch. 9.3 - Prob. 50ECh. 9.3 - Prob. 54ECh. 9.3 - Prob. 55ECh. 9.3 - Education For high school graduates from 2012...Ch. 9.3 - Prob. 57ECh. 9 - Prob. 1RECh. 9 - Prob. 2RECh. 9 - Prob. 3RECh. 9 - Prob. 4RECh. 9 - Prob. 5RECh. 9 - Prob. 6RECh. 9 - Prob. 7RECh. 9 - Prob. 8RECh. 9 - Prob. 9RECh. 9 - Prob. 10RECh. 9 - Prob. 11RECh. 9 - Prob. 12RECh. 9 - Prob. 13RECh. 9 - Prob. 14RECh. 9 - Prob. 15RECh. 9 - Prob. 16RECh. 9 - Revenue A publishing company introduces a new...Ch. 9 - Prob. 18RECh. 9 - Prob. 19RECh. 9 - Prob. 20RECh. 9 - Prob. 21RECh. 9 - Prob. 22RECh. 9 - Prob. 23RECh. 9 - Prob. 24RECh. 9 - Prob. 25RECh. 9 - Prob. 26RECh. 9 - Prob. 27RECh. 9 - Prob. 28RECh. 9 - Prob. 29RECh. 9 - Prob. 30RECh. 9 - Prob. 31RECh. 9 - Prob. 32RECh. 9 - Prob. 33RECh. 9 - Prob. 34RECh. 9 - Prob. 35RECh. 9 - Prob. 36RECh. 9 - Waiting Time The waiting time t (in minutes) for...Ch. 9 - Prob. 38RECh. 9 - Prob. 39RECh. 9 - Prob. 40RECh. 9 - Prob. 41RECh. 9 - Prob. 42RECh. 9 - Prob. 43RECh. 9 - Prob. 44RECh. 9 - Prob. 45RECh. 9 - Prob. 46RECh. 9 - Prob. 47RECh. 9 - Prob. 48RECh. 9 - Prob. 49RECh. 9 - Prob. 50RECh. 9 - Prob. 51RECh. 9 - Prob. 52RECh. 9 - Prob. 53RECh. 9 - Prob. 54RECh. 9 - Prob. 55RECh. 9 - Prob. 56RECh. 9 - Prob. 57RECh. 9 - Prob. 58RECh. 9 - Prob. 59RECh. 9 - Prob. 60RECh. 9 - Prob. 61RECh. 9 - Prob. 62RECh. 9 - Prob. 1TYSCh. 9 - Prob. 2TYSCh. 9 - Prob. 3TYSCh. 9 - Prob. 4TYSCh. 9 - Prob. 5TYSCh. 9 - Prob. 6TYSCh. 9 - Prob. 7TYSCh. 9 - Prob. 8TYSCh. 9 - Prob. 9TYSCh. 9 - Prob. 10TYSCh. 9 - Prob. 11TYSCh. 9 - Prob. 12TYSCh. 9 - Prob. 13TYSCh. 9 - Prob. 14TYSCh. 9 - Prob. 15TYSCh. 9 - Prob. 16TYS
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