The time (in minutes) between telephone calls at an insurance claims office has the exponential probability distribution: f(x)=0.50e-0.50x for x ≥ 0What is the mean time between telephone calls?Mean time (µ) = ______minutes What is the probability of 36 seconds or less between telephone calls? (Note: 36 seconds = 0.60 minutes) If required, round your answer to four decimal places.P(x ≤ 0.60) = _______________What is the probability of 1 minute or less between telephone calls? If required, round your answer to four decimal places.P(x ≤ 1) = ______________What is the probability of 6 or more minutes without a telephone call? If required, round your answer to four decimal places.P(x ≥ 6) = ____________

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Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

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ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter5: A Survey Of Other Common Functions

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The time (in minutes) between telephone calls at an insurance claims office has the exponential probability distribution: f(x)=0.50e^-0.50x for x ≥ 0

What is the mean time between telephone calls?
Mean time (µ) = ______minutes
What is the probability of 36 seconds or less between telephone calls? (Note: 36 seconds = 0.60 minutes) If required, round your answer to four decimal places.
P(x ≤ 0.60) = _______________
What is the probability of 1 minute or less between telephone calls? If required, round your answer to four decimal places.
P(x ≤ 1) = ______________
What is the probability of 6 or more minutes without a telephone call? If required, round your answer to four decimal places.
P(x ≥ 6) = ____________

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