A person works on a help line for a company.  They spend most of their time on the phone but in any hour of work there may be time spent not on the phone, eg making notes, attending to email etc.Let X = the number of phone calls that the person takes in 1 hour and assume X ~ Poi(6).  Furthermore let Y = time taken to deal with a call (in mins) and assume Y ~ N(8,2.52)Based on the above information, what is the average amount of time spent on the phone in 1 hour of work?a.6 * 8 + 1.96 * 2.5 = 52.9 minutesb.6 *8 = 48 minutesc.impossible to calculate without more informationd.6 * 8 + 2.52 = 54.25 minutes

The length of time for long-distance phone calls has been found to be normally distributed, with a mean of 20.8 minutes and a standard deviation of 6.7 minutes. In a randomly selected sample of 68 calls, what is the sample average call time below which 10% of sample average call times will be shorter? (2 decimal places)

A Customer Telephone Center receives 1,200 calls in a 24-hour period. Of these calls, 75% occur between 9:30 a.m. and 3:30 p.m., and calls are evenly distributed during this time. If each person handles 10 calls an hour, how many people are needed to handle calls during these hours?2018515

Marlene has noticed that she spends a lot of time in front of a screen. She spends all day working in front of a computer screen, she spends time relaxing and watching her favourite shows in front of a TV screen and before she goes to sleep she spends time looking at things on her phone screen. Marlene thinks she should probably cut down on the time she spends on her phone before going to sleep. On any given night, Marlene believes that the amount of time she spends on her phone is uniformly distributed between 41.3 and 73.4 minutes. Assume that the amount of time Marlene spends on her phone is independent from night to night.

Students arrive at the Administrative Services Office at an average of one every 15 minutes, and their requests take, on average, 10 minutes to be processed. The service counter is staffed by only one clerk, Judy Gumshoes, who works eight hours per day. Assume Poisson arrivals and exponential service times. a. What percentage of time is Judy idle? (Round your answer to 1 decimal place.)

The amount of time that Kelly uses her phone at work on any given day is uniformly distributed between 48 and 85 minutes. Ass that the amount of time that Kelly uses her phone at work is independent from day to day. Find the probability that Kelly used her phone for more than 61 minutes on Monday or between 53 and 76 minutes on Wednesda Answer: