Question

Pasquist Water Company (PWC) operates a 24-hour facility designed to efficiently fill water-hauling tanker trucks. Trucks arrive randomly to the facility and wait in line to access a wellhead pump. Since trucks vary in size and the filling operation is manually performed by the truck driver, the time to fill a truck is also random. a. If the manager of PWC uses the "multiple-server model" to calculate the operating characteristics of the facility's waiting line, list three assumptions she must make regarding the behavior of waiting trucks and the truck arrival process. (Check all assumptions that apply.) gth bh wsinhee A. Trucks wait until being served B. Trucks might balk C. First-come, last-served basis D. Trucks might renege E. Trucks don't balk F. Trucks arrive according to a Poisson process b. Suppose an average of 240 trucks arrive each day, there are four wellhead pumps, and each pump can serve an average of 3 trucks per hour. o What is the probability that exactly 10 trucks will arrive between 1:00 p.m. and 3:00 p.m. on any given day? o How likely is it that once a truck is in position at a wellhead, the filling time will be less than 15 minutes? The probablity that 10 trucks will arrive between 1:00 pm and 3:00 p m 0.58 %. Enter yourresponse runde o t ode mal places The probability that the filling time for the truck being served wil be less than 15 minutes s ? % Enter your esponse o ed de ma places

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