(a) Explanation Given information: The function is, f ( x ) = 1 9 , [ 0 , 9 ] Formula used: To find the probability, P ( a ≤ x ≤ b ) = ∫ a b f ( x ) d x Where, f is a probability density function with a continuous random variable x in the interval [ a , b ] Calculation: Consider the provided function is, f ( x ) = 1 9 Now apply the formula P ( a ≤ x ≤ b ) = ∫ a b f ( x ) d x to find the probability, P ( a ≤ x ≤ b ) = ∫ a b (b) To determine To calculate: The probability P ( 2 < x < 8 ) of the probability density function f ( x ) = 1 9 , [ 0 , 9 ] .

Bundle: Calculus: An Applied Approach, Brief, Loose-leaf Version, 10th + WebAssign Printed Access Card for Larson's Calculus: An Applied Approach, 10th Edition, Single-Term

10th Edition

ISBN: 9781337604826

Author: Ron Larson

Publisher: Cengage Learning

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Question

Chapter 9.3, Problem 5SWU

(a)

To determine

To calculate: The probability P(x≤3) of the probability density function f(x)=19, [0,9].

(b)

To determine

To calculate: The probability P(2<x<8) of the probability density function f(x)=19, [0,9].

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Chapter 9.3, Problem 4SWU

Chapter 9.3, Problem 6SWU

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Chapter 9 Solutions

Bundle: Calculus: An Applied Approach, Brief, Loose-leaf Version, 10th + WebAssign Printed Access Card for Larson's Calculus: An Applied Approach, 10th Edition, Single-Term

Ch. 9.1 - Checkpoint 1 Worked-out solution available at...Ch. 9.1 - Prob. 2CP Ch. 9.1 - Prob. 3CP Ch. 9.1 - Prob. 4CP Ch. 9.1 - Prob. 5CP Ch. 9.1 - Prob. 6CP Ch. 9.1 - Prob. 1SWU Ch. 9.1 - Prob. 2SWU Ch. 9.1 - Prob. 3SWU Ch. 9.1 - Prob. 4SWU

Ch. 9.1 - Prob. 5SWU Ch. 9.1 - Prob. 6SWU Ch. 9.1 - Prob. 7SWU Ch. 9.1 - Prob. 8SWU Ch. 9.1 - Prob. 9SWU Ch. 9.1 - Prob. 10SWU Ch. 9.1 - Prob. 1E Ch. 9.1 - Prob. 2E Ch. 9.1 - Prob. 3E Ch. 9.1 - Prob. 4E Ch. 9.1 - Prob. 5E Ch. 9.1 - Prob. 6E Ch. 9.1 - Prob. 7E Ch. 9.1 - Random Selection A card is chosen at random from a...Ch. 9.1 - Prob. 9E Ch. 9.1 - Prob. 10E Ch. 9.1 - Identifying Probability Distributions In Exercises...Ch. 9.1 - Prob. 12E Ch. 9.1 - Prob. 13E Ch. 9.1 - Prob. 14E Ch. 9.1 - Prob. 15E Ch. 9.1 - Using Probability Distributions In Exercises 1518,...Ch. 9.1 - Prob. 17E Ch. 9.1 - Prob. 18E Ch. 9.1 - Prob. 19E Ch. 9.1 - Children The table shows the probability...Ch. 9.1 - Prob. 21E Ch. 9.1 - Die Roll Consider the experiment of rolling a...Ch. 9.1 - Prob. 23E Ch. 9.1 - Prob. 24E Ch. 9.1 - Prob. 25E Ch. 9.1 - Prob. 26E Ch. 9.1 - Prob. 27E Ch. 9.1 - Prob. 28E Ch. 9.1 - Prob. 29E Ch. 9.1 - Personal Income The probability distribution of...Ch. 9.1 - Insurance An insurance company needs to determine...Ch. 9.1 - 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Prob. 13TYS Ch. 9 - Prob. 14TYS Ch. 9 - Prob. 15TYS Ch. 9 - Prob. 16TYS

Knowledge Booster

The probability P ( x ≤ 3 ) of the probability density function f ( x ) = 1 9 , [ 0 , 9 ] .

Solution Summary: The author calculates the probability of the function f(x)=19.

To calculate: The probability P(x≤3) of the probability density function f(x)=19, [0,9].

To calculate: The probability P(2<x<8) of the probability density function f(x)=19, [0,9].

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Chapter 9 Solutions