# Question Solved1 AnswerThe 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.

5H3AM4 The Asker · Probability and Statistics

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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