Question: A fuel depot operates a 24-hour facility designed to efficiently fill tanker trucks. Trucks arrive randomly to the facility and wait in line to access

A fuel depot operates a 24-hour facility designed to efficiently fill tanker trucks. Trucks arrive randomly to the facility and wait in line to access a fill station. 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. Suppose an average of 336 trucks arrive each day, there are four filling stations, and each station can serve an average of four trucks per hour

  1. What is the probability that exactly 10 trucks will arrive between 1:00 p.m. and 2:00 p.m. on any given day?
  2. How likely is it that once a truck is in position at a station, the filling time will be less than 15 minutes?

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