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?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter6: Ratio, Proportion, And Probability
Section6.7: Probability And Odds
Problem 1C
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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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