1. Find the probability that this customer service received 25 calls in an hour. Answer: 0.0737 2. Find the average calls this customer service received in 10 minutes. Answer: 4.5000 3. Supposed that the number of emails and the number of calls to this customer service are independent random variables. Find the probability that this service channel received 7 feedbacks (emails or calls) in 9 minutes

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A customer service can receive the customer feedbacks via emails or phone calls. It is assumed that in an
hour the number of calls to the service hot line is a Poisson random variable (X) with the mean 27
(call/hour) and the number of emails is a Poisson random variable (Y) with the mean 50 (email/hour).
1. Find the probability that this customer service received 25 calls in an hour.
Answer: 0.0737
2. Find the average calls this customer service received in 10 minutes.
Answer: 4.5000
3. Supposed that the number of emails and the number of calls to this customer service are
independent random variables. Find the probability that this service channel received 7 feedbacks
(emails or calls) in 9 minutes
Answer: 0.0901
X 0.052425440366783
Transcribed Image Text:A customer service can receive the customer feedbacks via emails or phone calls. It is assumed that in an hour the number of calls to the service hot line is a Poisson random variable (X) with the mean 27 (call/hour) and the number of emails is a Poisson random variable (Y) with the mean 50 (email/hour). 1. Find the probability that this customer service received 25 calls in an hour. Answer: 0.0737 2. Find the average calls this customer service received in 10 minutes. Answer: 4.5000 3. Supposed that the number of emails and the number of calls to this customer service are independent random variables. Find the probability that this service channel received 7 feedbacks (emails or calls) in 9 minutes Answer: 0.0901 X 0.052425440366783
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