Question

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?

Answer #1

thank you.

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)

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!

The local bagel shop gets on average 10 customers per hour on
weekday mornings. What is the probability 4 customers
arrive in an hour?
The local bagel shop gets on average 10 customers per hour on
weekday mornings. What is the probability less
than 3 customers arrive in a half hour?

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

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 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...

Calls to a customer service center last on average 1.95 minutes
with a standard deviation of 1.63 minutes. An operator in the call
center is required to answer 75 calls each day. Assume the call
times are independent.
Round answers to 3 decimals.
(a) What is the expected total amount of time in minutes the
operator will spend on the calls each day?
(b) What is the standard deviation of the total amount of time in
minutes the operator will...

The number of telephone calls per unit of time made to a call
center is often modeled as a Poisson random variable. Historical
data suggest that on the average 15 calls per hour are received by
the call center of a company. What is the probability that the time
between two consecutive calls is longer than 8 minutes? Write all
probability values as numbers between 0 and 1.

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?

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.)

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