Question Solved1 Answer Please answer letter d. 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.

SC36AI The Asker · Probability and Statistics

Please answer letter d.

 

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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Step 1ler T denote the time untill the first call.Given, the random variable T is exponentially distributed with lambda=(1)/(15) calls/minute.f(t)=(1)/(15)e^(-t//15),quad t > 0distribut ... See the full answer