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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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).
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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