2. Impatient taxi driver. Passengers arrive at a taxi stand at an airport at the rate of one passenger per minute follow
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2. Impatient taxi driver. Passengers arrive at a taxi stand at an airport at the rate of one passenger per minute follow
2. Impatient taxi driver. Passengers arrive at a taxi stand at an airport at the rate of one passenger per minute follow a Poisson distribution. The taxi driver will leave if either 4 passengers arrive to fill his cab or 5 minutes have passed, whichever occurs first. (a) Find the probability that the taxi driver will take off without any passenger. (b) Find the probability that the taxi driver will take off with exactly 4 passengers.
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