Q5: The time between calls to a corporate office is exponentially distributed with a mean of 10 minutes. (a) What is the probability that there are more than three calls in one-half hour? (b) What is the probability that there are no calls within one-half hour? (c) Determine x such that the probability that there are no calls within x hours is 0.01. (d) What is the probability that there are no calls within a two-hour interval? (e) If four nonoverlapping one-half-hour intervals are selected, what is the probability that none of these intervals contains any call? () Explain the relationship between the results in part (a) and (b).
Q5: The time between calls to a corporate office is exponentially distributed with a mean of 10 minutes. (a) What is the probability that there are more than three calls in one-half hour? (b) What is the probability that there are no calls within one-half hour? (c) Determine x such that the probability that there are no calls within x hours is 0.01. (d) What is the probability that there are no calls within a two-hour interval? (e) If four nonoverlapping one-half-hour intervals are selected, what is the probability that none of these intervals contains any call? () Explain the relationship between the results in part (a) and (b).
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Transcribed Image Text:Q5: The time between calls to a corporate office is exponentially distributed with a mean of 10 minutes.
(a) What is the probability that there are more than three calls in one-half hour?
(b) What is the probability that there are no calls within one-half hour?
(c) Determine x such that the probability that there are no calls within x hours is 0.01.
(d) What is the probability that there are no calls within a two-hour interval?
(e) If four nonoverlapping one-half-hour intervals are selected, what is the probability that none of
these intervals contains any call?
() Explain the relationship between the results in part (a) and (b).
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