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The time between calls to a plumbing supply business is exponentially distributed with a mean time between calls of 13 minutes. (a) What is the probability that there are no calls within a 30-minute interval? (Round your answer to 4 decimal places.) (b) What is the probability that at least one call arrives within a 10-minute interval? (Round your answer to 4 decimal places.) (c) What is the probability that the first call arrives within 5 and 10 minutes after opening?

The time between calls to a plumbing supply business is exponentially distributed with a mean time between calls of 13 minutes. (a) What is the probability that there are no calls within a 30-minute interval? (Round your answer to 4 decimal places.) (b) What is the probability that at least one call arrives within a 10-minute interval? (Round your answer to 4 decimal places.) (c) What is the probability that the first call arrives within 5 and 10 minutes after opening?

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...
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The time between calls to a plumbing supply business is exponentially distributed with a mean time between calls of 13 minutes. (a) What is the probability that there are no calls within a 30-minute interval? (Round your answer to 4 decimal places.) (b) What is the probability that at least one call arrives within a 10-minute interval? (Round your answer to 4 decimal places.) (c) What is the probability that the first call arrives within 5 and 10 minutes after opening? (Round your answer to 4 decimal places.) (d) Determine the length of an interval of time such that the probability of at least one call in the interval is 0.90. minutes (Round your answer to 2 decimal places.)
Transcribed Image Text:The time between calls to a plumbing supply business is exponentially distributed with a mean time between calls of 13 minutes. (a) What is the probability that there are no calls within a 30-minute interval? (Round your answer to 4 decimal places.) (b) What is the probability that at least one call arrives within a 10-minute interval? (Round your answer to 4 decimal places.) (c) What is the probability that the first call arrives within 5 and 10 minutes after opening? (Round your answer to 4 decimal places.) (d) Determine the length of an interval of time such that the probability of at least one call in the interval is 0.90. minutes (Round your answer to 2 decimal places.)
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