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Question: cars arrive at a parking garage at a rate of...

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Cars arrive at a parking garage at a rate of 90 veh/hr according to the Poisson distribution. () In form of a table, write down the probability density and cumulative probabilities for the random variable Xrepresenting the number of arrivals per minute forx -0 to 6, correct your answer to nearest 4 decimal places. P(X=x) F(x) P(Xsx) Find x such that there is at least 95% chance that the arrival rate is less than x vehicles per minutes. (ii) ii) What is (name of the probability distribution of the headway? Find the mean headway (in sec) and state the equation of the cumulative headway distribution iv Find the probability that a headway is less than or equal to 45 sec (v) The probability that a headway is longer than 2 min
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