Question: Problem E The Conrad Hilton Hotel in NYC has enough spaces for six cabs to load passengers, line up, and wait for guests at the

Problem E The Conrad Hilton Hotel in NYC has enough spaces for six cabs to load passengers, line up, and wait for guests at the entrance. Cabs arrive at the hotel every ten minutes and if a taxi drives by and the line is full, it must drive on. Hotel guests require taxis every five minutes on average and then it takes a cab driver on average every of 3.5 minutes to load passengers and luggage and leave the hotel.

E-1. What is the average time a cab must wait for a fare?

E-2. What is the probability that the line will be full when a cab drives by and it must drive on?

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