QA 233 (Basic Business Statistics)

Practice Problems VII - Chapters 5 & 6

Hello QA 233 students! The following problems require you to use material from 'Discrete Probability Distributions' and 'Continuous Probability Distributions'  (slide sets 5-6 and chapters 5 & 6 in the ASW textbook). I have also posted the solutions on the QA 233 Virtual Classroom web page. Have a good day.

QCTV is a cable television provider for the greater Little Rock metropolitan area. The company receives an average of 2 non-weather related service calls per hour during regular business hours. Twenty five percent of all service calls require replacement of the cable box (converter), and the calls are distributed evenly across the four suburbs (East Little Rock, Centerville, Edgewood, and Mahomes). The distance traveled for a non-weather related service call is evenly distributed between 0.0 and 7.5 miles.

  1. Suppose that QCTV can handle no more than twenty non-weather related service calls during regular business hours (9:00 a.m. to 5:00 p.m.). What is the probability that QCTV will receive more non-weather related service calls than they can handle today? - QA 233 Students - skip this problem!

  1. Suppose that the QCTV switchboard operator takes his one-hour lunch break immediately after he takes a non-weather related service call at 12:05 p.m. What is the probability that he will not miss a non-weather related service call while he is at lunch? What is the probability that he will miss at least two non-weather related service calls while he is at lunch?   - QA 233 Students - skip this problem!

  1. Suppose that one of the service technicians is scheduled to make 8 service calls today, and that he has five cable boxes on his service truck. If he will not be able to return to the QCTV offices until the end of his day, what is the probability that he will not have enough cable boxes today?

  1. What is the probability that the next non-weather related service call will not come from the suburb of Mahomes?

  1. What is the probability that each of the next three non-weather related service calls will require a replacement cable box?

  1. What is the probability that a truck will have to travel more than 6.3 miles to the next non-weather related service call? What is the probability that a truck will have to travel between 3.0 and 5.0 miles to the next non-weather related service call? What is the probability that a truck will have to travel between 6.5 and 10.0 miles to the next non-weather related service call?

 

 

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