Question: USE EXCEL AND SOLVER TO ANSWER The Yankee Stadium has enough space at its entrance for eight taxis to line up, wait for guests, and

USE EXCEL AND SOLVER TO ANSWER

The Yankee Stadium has enough space at its entrance for eight taxis to line up, wait for guests, and then load passengers. Taxis arrive at the stadium every 6 minutes; if a taxi drives by the stadium and the line is full, it must drive on. Yankee fans require a taxi every 5 minutes, on average. It takes a taxi driver an average of 3.5 minutes to load passengers and leave the stadium (exponentially distributed).

  1. What is the average time a taxi must wait for a fare?

  2. What is the probability that the line will be full when a cab drives by, causing it to drive on?

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