(A) Explanation Given: The number of words per minute a beginner can type after 1 week of practice is a continuous random variable whose probability density function is, f ( x ) = { 1 20 e − x 20 if x ≥ 0 0 otherwise . Result used: If [ c , d ] is a subinterval of ( − ∞ , ∞ ) , then the P ( c ≤ X ≤ d ) = ∫ c d f ( x ) d x , where f ( x ) is the probability density function of the continuous random variable X . Calculation: The probability that a randomly selected beginner can type at least 30 words per minute after 1 week of practice is computed as the definite integral of the given function with lower limit 30 and upper limit ∞ (B) To determine To find: The probability that a beginner can type at least 80 words per minute after 1 week of practice.

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Author: Raymond Barnett, Michael Ziegler

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Chapter 11.2, Problem 65E

(A)

To determine

To find: The probability that a beginner can type at least 30 words per minute after 1 week of practice.

(B)

To determine

To find: The probability that a beginner can type at least 80 words per minute after 1 week of practice.

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Chapter 11.2, Problem 64E

Chapter 11.2, Problem 66E

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Chapter 11 Solutions

Pearson eText for Calculus for Business, Economics, Life Sciences, and Social Sciences -- Instant Access (Pearson+)

Ch. 11.1 - Evaluate the following, if it converges: 3dx(x1)2.Ch. 11.1 - Prob. 2MP Ch. 11.1 - Prob. 3MP Ch. 11.1 - Prob. 4MP Ch. 11.1 - Prob. 5MP Ch. 11.1 - Prob. 6MP Ch. 11.1 - Prob. 1ED Ch. 11.1 - Prob. 2ED Ch. 11.1 - Prob. 1E Ch. 11.1 - Prob. 2E

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The probability that a beginner can type at least 30 words per minute after 1 week of practice.

Solution Summary: The author calculates the probability that a randomly selected beginner can type at least 30 words per minute after 1 week of practice.