A customer service operator receives, on average, 6 calls per week asking for assistance. a. What...

A customer service operator receives, on average, 6 calls per week asking for assistance.
a. What is the type of distribution? Why?
b. For any randomly selected week, find the probability that the operator will receive
i) at least 6 calls
ii) 4 or more calls
iii) At most 5 calls.

Expert Solution

thank you.

orchestra answered 1 year ago

Indiana Bell customer service representatives receive an average of 1700 calls per hour. The time between...

Indiana Bell customer service representatives receive an average of 1700 calls per hour. The time between calls follows an exponential distribution. A customer service representative can now handle an average of 35 calls per hour. The time required to handle a call is also exponentially distributed. Indiana Bell can put up to 25 people on hold. If 25 are on hold, a call is lost to the system. Indiana Bell hired 5 extra service representatives and now has 80 service...

company, claims that the sales representatives makes an average of 20 calls per week on professors....

company, claims that the sales representatives makes an average of 20 calls per week on professors. Several representatives say that the estimate is too low. To investigate, a random sample of 28 sales representatives reveals that the mean number of calls made last week was 44 and variance is 2.41. Conduct an appropriate hypothesis test, at the 5% level of significance to determine if the mean number of calls per salesperson per week is more than 40. (a) Provide the hypothesis...

A financial call center receives customer calls at every 15 seconds. The call center trains customer...

A financial call center receives customer calls at every 15 seconds. The call center trains customer service representatives (CSRs) in a way that they take an average of 7.5 minutes to process a call. Caller inter-arrival and processing times are exponentially distributed. Currently, the call center employs 42 CSRs and pays each CSR $15 per hour including benefits. The center estimates that it loses $1 for each minute a customer is on hold, in terms of the negative impact on...

A sample of calls made to the customer service departments at two publishers is taken, and...

A sample of calls made to the customer service departments at two publishers is taken, and the number of minutes spent on hold is recorded. Results are shown in the table. Both populations of hold-times are normally distributed. Publisher C n=32 x-bar=36.1 min. s= 4.5 min. Publisher D n= 28 x-bar=45.7 min. s= 7.3 min. a. Use formula/chart to test the claim that the standard deviation in hold-time is the same at both publishers. Use 0.05 significance and the critical...

Sports Score Hot Line Calls (Optional) Sports Scores Hot Line receives, on the average, 11 calls...

Sports Score Hot Line Calls (Optional) Sports Scores Hot Line receives, on the average, 11 calls per hour requesting the latest sports scores. The distribution is Poisson in nature. For any randomly selected hour, ﬁnd the probability that the company will receive a. At least 7 calls b. 4 or more calls c. At most 9 calls

At a call center, calls come in at an average rate of four calls per minute....

At a 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 average time between two successive calls. b. Find the probability that after a call is received, the next call occurs in less than ten seconds. c. Find the probability that less than five calls occur within a minute....

What estimates, with reasonable assurance, can PLE give customers for response times to customer service calls?

What are the consequences to a hotel operator of a customer such as Thomas Cook

What are the consequences to a hotel operator of a customer such as Thomas Cook collapsing into liquidation? How does it affect resigning contracts with new owners?

6.4 The duration of customer service calls to an insurance company is normally distributed, with mean...

6.4 The duration of customer service calls to an insurance company is normally distributed, with mean 20 minutes, and standard deviation 5 minutes. For the following sample sizes, construct a 95% confidence interval for the population mean duration of customer service calls. (a) n = 25 (b) n = 100 (c) n = 400 (d) For each of the confidence intervals above, calculate and interpret the margin of error. (e) Refer to part (d) above. Describe the relationship between the...

The customer expectation when phoning a customer service line is that the average amount of time...

The customer expectation when phoning a customer service line is that the average amount of time from completion of dialing until they hear the message indicating the time in queue is equal to 55.0 seconds (less than a minute was the response from customers surveyed, so the standard was established at 10% less than a minute). You decide to randomly sample at 20 times from 11:30am until 9:30pm on 2 days to determine what the actual average is. The actual data...

Question