Question

Customers of a computer manufacturer call customer service at an average rate of 20 calls per hour. Use a Binomial process with 5-second frames to find the probability of no more than 8 calls during the next 15 min. (Round to four decimal places.)

0.6691 and 0.9320 are incorrect!

Answer #1

A call-in customer service center knows they get on average 18
calls per hour on weekday mornings. What is the probability they
get 15 or more calls an hour?

On the average, there is one new customer calling in to a call
center every 20 minutes. Assume the
number of calls follows the Poisson process.
(a) What is the probability that in the next 40 minutes, exactly 3
new customers will call?
(b) What is the probability that there are no calls in the next
hour?

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?

13. A customer service center receives a wide variety of calls
for a manufacturer, but 0.09 of these calls are warranty claims.
Assume that all calls are independent and that the probability of
each call being a warranty claim is 0.09. Let X denote the number
of warranty claims received in the first 16 calls. Find the
expected value of X.
QUESTION 14
Customers arrive at a bank according to a Poisson process having
a rate of 2.42 customers per...

With an average service rate of 15 customers per hour and an
average customer arrival rate of 12 customers per hour, calculate
the probability that actual service time will be less than or equal
to five minutes.

A customer service center has customers call with questions
about the use of a product. The mean arrival rate of customer calls
is 20 per hour and follows a Poisson distribution. The mean service
rate (how long it takes the call center employee to answer the
customer’s question) is 30 customers per hour (most customer
questions can be answered rather quickly) and follows an
Exponential distribution.
What is the mean (average) time in hours that a customer spends
in the...

On average ten phone calls arrive at a customer service call
center per minute during a specified time of day. Assume all calls
happen independently of each other.
In any given minute, determine the probability that the call
center receives exactly eight phone calls that minute. (to 4
decimals)

Incoming calls to a customer service center are classified as
complaints (78% of calls) or requests for information (22% of
calls). Of the complaints, 40% deal with computer equipment that
does not respond and 57% deal with incomplete software
installation; in the remaining 3% of complaints, the user has
improperly followed the installation instructions. The requests for
information are evenly divided on technical questions (50%) and
requests to purchase more products (50%). Round your answers to
four decimal places (e.g....

A customer service center in Gary, Indiana receives, on average,
3.5 telephone calls per minute. If the distribution of calls is
Poisson, what is the probability of receiving more than 4 calls
during a particular minute? Do not round intermediate calculations.
Round your final answer to four decimals. Format for probabilities:
0.0000

Marty's Barber Shop has one barber. Customers have an arrival
rate of 2.3 customers per hour, and haircuts are given with a
service rate of 4 per hour. Use the Poisson arrivals and
exponential service times model to answer the following
questions:
What is the probability that no units are in the system? If
required, round your answer to four decimal places.
P0 = _____
What is the probability that one customer is receiving a haircut
and no one is...

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