Trucks are required to pass through a weighing station

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Reference no: EM132245929

1. Trucks are required to pass through a weighing station so that they can be checked for weight violations. Trucks arrive at the station at the rate of 21 an hour between 7:00 p.m. and 9:00 p.m. Currently two inspectors are on duty during those hours, each of whom can inspect 15 trucks an hour.

Use Table 1.

a. How many trucks would you expect to see at the weighing station, including those being inspected? (Round your answer to 3 decimal places.)

b. If a truck was just arriving at the station, how long could the driver expect to be at the station, including time waiting in line and being weighed? (Round your answer to 4 decimal places.)

c. What is the probability that both inspectors would be busy at the same time? (Enter your answer in decimal format, i.e., enter 0.1234, rounding to 4 decimal places.)

d. How long, on average, would a truck that is not immediately inspected have to wait? (Round your answer to 4 decimal places.)

2. Trucks are required to pass through a weighing station so that they can be checked for weight violations. Trucks arrive at the station at the rate of 18 an hour between 7:00 p.m. and 9:00 p.m. Currently two inspectors are on duty during those hours, each of whom can inspect 15 trucks an hour.

a. How many trucks would you expect to see at the weighing station, including those being inspected? Ls=_____trucks

b. If a truck was just arriving at the station, how long could the driver expect to be at the station, including time waiting in line and being weighed? Ws____hrs

c. What is the probability that both inspectors would be busy at the same time? Pw=

d. How long, on average, would a truck that is not immediately inspected have to wait? Wa=_____hrs

Reference no: EM132245929

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