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The mean time between reoccurring events is exponentially distributed with a mean time between events of 15 minutes.

a. What is the probability that there are no events within a 30-minute period? Answer 0.00043?

b. What is the probability that at least one call arrives within a 10-minute interval? Answer 0.4866?

c. What is the probability that the first events occurs within 5 and 10 minutes after the start of the sampling period? Answer 0.2031?

d. Determine the length of an interval of time such that the probability of at least one event in the interval is 0.90. Answer 34.54?

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Statistics and Probability, Statistics

Category:- Statistics and Probability
Reference No.:- M9373172

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