10) If the number of cars parked daily in a downtown parking lot is normally distributed with a mean µ = 153.2 and a standard deviation ? = 6.4, determine the likelihood of each of the following (and write your answer using correct probability otation): (a) between 150 and 155 cars parked in the parking lot on a given day; (b) more than 160 cars parked in the parking lot on a given day; (c) the daily number of parked cars in the 75th percentile.
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(1 point) When parking a car in a downtown parking lot, drivers pay according to the number of hours or fraction thereof. The probability distribution of the number of hours cars are parked has been estimated as follows: X 1 2 3 4 5 6 7 8 P(X) 0.217 0.13 0.121 0.096 0.056 0.022 0.025 0.333 A. Mean = B. Standard Deviation = The cost of parking is 2.5 dollars per hour. Calculate the mean and standard deviation of the amount of revenue each car generates. A. Mean = B. Standard Deviation =
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Q3) When parking a car in a downtown parking lot, drivers pay according to the number of hours. The probability distribution for the number of hours a car is parked has been given below: x | 1 2 3 4 5 6 7 8 P(x) | 0.24 0.18 0.13 0.10 0.07 0.04 0.04 0.20 a) What is the probability that a car will be parked in this parking lot for at least 6 hours? b) What is the expected number of hours a given car will be parked in the parking lot?
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2. When parking a car in a downtown parking lot, drivers pay according to the number of hours or parts thereof. The probability distribution of the number of hours that cars are parked has been estimated as follows: X 1 2 3 4 5 6 7 8 P(X) .24 .18 .13 .10 .07 .04 .04 .20 a. Find the mean and standard deviation of the number of hours that cars are parked in the lot. b. If the cost of parking is $2.50 per hour, calculate the mean and standard deviation of the amount of revenue each car generates.
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