A parking lot has two entrances. Cars arrive at entrance I according to a Poisson distribution at an average of three cars per hour and at entrance II according to a Poisson distribution at an average of four per hour. Assume that the numbers of cars arriving at the two entrances are independent. (a) What is the probability that at most one car will arrive at entrance I in the next hour? (b) What is the probability that exactly one car will arrive at entrance II in the next 30 minutes? (c) What is the probability that a total of two cars will arrive at the parking lot in the next hour?
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The probability that at most one car will arrive at entrance I in the next hour: The average number of cars arriving at entrance I is 3 cars per hour. We want to find the probability that either 0 or 1 car arrives in the next hour. Using the Poisson distribution Show more…
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A parking lot has two entrances. Cars arrive at entrance I according to a Poisson distribution at an average of three per hour and at entrance II according to a Poisson distribution at an average of four per hour. What is the probability that a total of three cars will arrive at the parking lot in a given hour? (Assume that the numbers of cars arriving at the two entrances are independent.)
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