(1)Phone calls in a customer service center arrive according to a Poisson process with rate of 6 calls per minute. For each call, the probability that it is a complaint is given by a Bernoulli distribution with parameter 0.3. Find (i) the expected number of complaints received in any given one hour period

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Round off answers to two decimal points
(1)Phone calls in a customer service center arrive according
to a Poisson process with rate of 6 calls per minute. For each
call, the probability that it is a complaint is given by a
Bernoulli distribution with parameter 0.3.
Find
(i) the expected number of complaints received in any given
one hour period
(ii) the standard deviation of the number of complaints
received in one hour
(iii) what is the probability that the center receives more than
120 complaints in any given one hour period?
Transcribed Image Text:Round off answers to two decimal points (1)Phone calls in a customer service center arrive according to a Poisson process with rate of 6 calls per minute. For each call, the probability that it is a complaint is given by a Bernoulli distribution with parameter 0.3. Find (i) the expected number of complaints received in any given one hour period (ii) the standard deviation of the number of complaints received in one hour (iii) what is the probability that the center receives more than 120 complaints in any given one hour period?
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