Q20.  If calls arrive at a telephone exchange such that the time of arrival of any call is independent of the time of arrival of earlier of future calls, the probability distribution function of the total number of calls in a fixed time interval will be*NormalBinomial distributionPoisson distributionNone of thes

fter your complaint about their service, a representative of an insurancecompany promised to call you "between 7 and 9 this evening." Assumethat this means that the time T of the call is uniformly distributed in thespecied interval.(a) Compute the probability that the call arrives between 8:00 and 8:20.(b) At 8:30, the call still hasn't arrived. What is the probability that itarrives in the next 10 minutes?(c) Assume that you know in advance that the call will last exactly 1hour. From 9 to 9:30, there is a game show on TV that you wantedto watch. Let M be the amount of time of the show that you missbecause of the call. Compute the expected value of M .

A company wants to track the number of calls they receive over a day to decide how many people they want to hire. They make the following assumptions.You are given a task to determine the probability of receiving exactly k number of calls during a specific day. Which of the following distributions can you use to complete this task:AssumptionsEach call occurs independently from every other call.A given call has the same probability of occurring at any given time of the day.Calls occur at a rate of λ calls per day.BinomialPoissonNormalNone of these

Question 7A statistical analysis of 2,000 long-distance telephone calls made from the headquarters of theBricks and Clicks Computer Corporation indicates that the length of these calls is normallydistributed, with 𝜇 = 300 seconds and 𝜎 = 50 seconds. (4 marks)(a) What is the probability that a call lasted less than 210 seconds?(b) What is the probability that a call lasted between 210 and 320 seconds?(c) What is the probability that a call lasted between 100 and 210 seconds?(d) 10% of all calls will last less than how many seconds?

A call center technical specialist spends varying amount of time in each call to resolve the concern. The time spent in each call is modeled using the following distribution: X~ Exp (0.2).Find P (2 < x < 10):Question 14Answera.0.5350b.0.6350c.0.2350

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