mean time between calls of 15 minutes. a. What is the probability that there are no calls within a 30- minute interval? b. What is the probability that at least one call arrives within a 10-minute interval? c. What is the probability that the first call arrives within 5 and 10 minutes after opening? d. Determine the length of an interval of time such that the probability of at least one call in the interval is 0.90

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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10. The time between calls to a plumbing supply business is exponentially distributed with a
mean time between calls of 15 minutes.
a. What is the probability that there are no calls within a 30- minute interval?
b. What is the probability that at least one call arrives within a 10-minute interval?
c. What is the probability that the first call arrives within 5 and 10 minutes after
opening?
d. Determine the length of an interval of time such that the probability of at least one
call in the interval is 0.90
Transcribed Image Text:10. The time between calls to a plumbing supply business is exponentially distributed with a mean time between calls of 15 minutes. a. What is the probability that there are no calls within a 30- minute interval? b. What is the probability that at least one call arrives within a 10-minute interval? c. What is the probability that the first call arrives within 5 and 10 minutes after opening? d. Determine the length of an interval of time such that the probability of at least one call in the interval is 0.90
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