(a) To determine To find: The probability that a randomly selected person will learn the task in less than 4 minutes. Explanation Given: The probability density function that the time required to learn a certain task in a random variable is f ( t ) = 8 7 ( t − 2 ) 2 . Definition used: Probability density function on ( − ∞ , ∞ ) : If f is a probability density function for a random variable X in the interval ( − ∞ , ∞ ) , then 1. P ( X ≤ b ) = P ( X < b ) = ∫ − ∞ b f ( x ) d x 2. P ( X ≥ a ) = P ( X > a ) = ∫ a ∞ f ( x ) d x 3. P ( − ∞ < X < ∞ ) = ∫ − ∞ ∞ f ( x ) d x = 1 Calculation: Consider, the given function f ( t ) = 8 7 ( t − 2 ) 2 (b) To determine To find: The probability that a randomly selected person will learn the task in more than 5 minutes.

Calculus With Applications, Books a la Carte Plus MyLab Math Package (11th Edition)

11th Edition

ISBN: 9780133886849

Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey

Publisher: PEARSON

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Chapter 11.1, Problem 44E

(a)

To determine

To find: The probability that a randomly selected person will learn the task in less than 4 minutes.

(b)

To determine

To find: The probability that a randomly selected person will learn the task in more than 5 minutes.

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Chapter 11.1, Problem 43E

Chapter 11.1, Problem 45E

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Chapter 11 Solutions

Calculus With Applications, Books a la Carte Plus MyLab Math Package (11th Edition)

Ch. 11.1 - YOUR TURN 1 Repeat Example 1(a) for the function...Ch. 11.1 - Prob. 2YT Ch. 11.1 - Prob. 3YT Ch. 11.1 - Prob. 4YT Ch. 11.1 - Prob. 1WE Ch. 11.1 - Prob. 2WE Ch. 11.1 - Prob. 3WE Ch. 11.1 - Decide whether the functions defined as follows...Ch. 11.1 - Decide whether the functions defined as follows...Ch. 11.1 - Decide whether the functions defined as follows...

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