The time between calls to a plumbing supply business is exponentially distributed with a mean time between calls of 14 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.)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
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The time between calls to a plumbing supply business is exponentially distributed with a mean time between calls of 14 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.)
Statistical Tables and Charts
Transcribed Image Text:The time between calls to a plumbing supply business is exponentially distributed with a mean time between calls of 14 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.) Statistical Tables and Charts
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