Mathematics, 12.02.2020 04:51 shaheedbrown06
A parking lot has two entrances. Cars arrive at entrance I according to a Poisson distribution at an average of 3 per hour and at entrance II according to a Poisson distribution at an average of 2 per hour. What is the probability that a total of 3 cars will arrive at the parking lot in a given hour? What is the probability that less than 3 cars will arrive at the parking lot in a given hour? (Assume that the numbers of cars arriving at the two entrances are independent. (Note: The probability mass function of Poisson distribution is p(x) = (e^-λ * λ^x)/(x!) for x = 0,1,2, ..., , where λ is the parameter which indicates the average number of events in the given time interval.)
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