Question

A company receives calls that follows exponential distribution with an average of 12 calls per hour. The person has already waited 10 minutes for call, what is the probability that he will receive the call in the next 5 minutes?

Answer #1

The
time between telephone calls to a cable televisiom service call
center follows an exponential distribution with a mean of 1.5
minutes.
a. What is the probability that the time between the next two
calls will be 48 seconds or less?
b. What is the probability that the between the next two calls
will be greater than 118.5 seconds?

Telephone calls arrive at a 911 call center at the rate of 12
calls per hour.
What is the mean number of calls the center expects to receive
in 30 minutes?
What is the standard deviation of the number of calls the center
expects to receive in 30 minutes? (Round your answer to two decimal
places.)
Find the probability that no calls come in for 30 minutes.
(Round your answer to five decimal places.)

The time between successive arrivals of calls to emergency
service is random variable which
follows exponential distribution. It was observed that on average
calls arrive to emergency
service every four minutes (1 / λ = 4min) and average number of
calls in one minute is λ = 0.25 calls/ 1 min
The probability that the time between successive calls is less
than 2 minutes is ______
A call just arrived to emergency service. The probability that
next call will arrive...

Please Answer Fast
An investment manager receives an average of 10 calls per 8-hour
day from clients. Assuming calls are poisson process
,what is the probability that the manager will not be interrupted
by a call during a meeting lasting 2-hours

A call centre receives, on average, 10 calls per minute. The
highest number of calls received in any minute is 15. For any
randomly selected minute, find the probability that they will
receive:
i. At least 13 calls
ii. At most 2 calls
iii. 7 to 9 calls
iv. Find the Mean, Variance and Standard Deviation of the
distribution
show all working

A sales firm receives on average three calls per hour on its
toll-free number. For any given hour, find the probability that it
will receive the following:
at most 3 calls.
at least 3 calls.
five or more calls.
between 1 and 4 calls in 2 hours.
Find the average number of calls.
Find the standard deviation of number of calls.

A customer support center for a computer manufacturer receives
an average of 1.3 phone calls every five minutes. Assume the number
of calls received follows the Poisson distribution.
b. What is the probability that 3 or more calls will arrive
during the next five? minutes?
c. What is the probability that 3 calls will arrive during the
next ten? minutes?
d. What is the probability that no more than 2 calls will arrive
during the next ten? minutes?

An exponential probability distribution has lambda equal to 21
customers per hour. Find the following probabilities.
a) What is the probability that the next customer will arrive
within the next 3 minutes?
b) What is the probability that the next customer will arrive
within the next 15 seconds?
c) What is the probability that the next customer will arrive
within the next 12 minutes?
d) What is the probability that the next customer will arrive
within the next 17 minutes?

The emergency telephone (911) center in a large city receives an
average of 120 calls per hour during a typical day. On average,
each call requires about 121 seconds for a dispatcher to receive
the emergency call, determine the nature and location of the
problem, and send the required individuals (police, firefighters,
or ambulance) to the scene. The center is currently staffed by 4
dispatchers a shift but must have an adequate number of dispatchers
on duty and it has...

at call center, calls come in at an average rate of four calls
per minute. Assume that the time elapsed from one call to the next
has the exponential distribution, and that the times between calls
are independent.
a. find the prob. that after a call is received, the next call
occurs in less than 10 sec.
b. Find a 95% confidence interval for the number of calls in a
minute.

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