The Downtown Parking Authority of Tampa, Florida, reported the following informa

Question

The Downtown Parking Authority of Tampa, Florida, reported the following information for a sample of 228 customers on the number of hours cars are parked and the amount they are charged.

1. Convert the information on the number of hours parked to a probability distribution

2. Find the mean and the standard deviation of the number of hours parked. (Do not round the intermediate calculations. Round your final answers to 3 decimal places.)

3. How long is a typical customer parked? (Do not round the intermediate calculations. Round your final answer to 3 decimal places.)

4. Find the mean and the standard deviation of the amount charged. (Do not round the intermediate calculations. Round your final answers to 3 decimal places.)

Number of Hours Frequency Amount Charged 1 18 $ 3 2 38 6 3 50 9 4 45 13 5 20 14 6 16 16 7 5 18 8 36 22

1. Convert the information on the number of hours parked to a probability distribution

2. Find the mean and the standard deviation of the number of hours parked. (Do not round the intermediate calculations. Round your final answers to 3 decimal places.)

3. How long is a typical customer parked? (Do not round the intermediate calculations. Round your final answer to 3 decimal places.)

4. Find the mean and the standard deviation of the amount charged. (Do not round the intermediate calculations. Round your final answers to 3 decimal places.)

228

Explanation / Answer

below is the probability distribution for number of hours:

2) mean =4.14

std deviation =2.161

3) a typical customer parked for 4 hours ( beinig of highest frequency)

4) for amount charged below is frequency distribution:

mean =12

std deviaiton =5.7113

x frequency p(x) xP(x) x2P(X) (x-)2 (x-)2P(x) 1 18 0.0789 0.079 0.079 9.834 0.776 2 38 0.1667 0.333 0.667 4.562 0.760 3 50 0.2193 0.658 1.974 1.290 0.283 4 45 0.1974 0.789 3.158 0.018 0.004 5 20 0.0877 0.439 2.193 0.747 0.065 6 16 0.0702 0.421 2.526 3.475 0.244 7 5 0.0219 0.154 1.075 8.203 0.180 8 36 0.1579 1.263 10.105 14.931 2.357 total 228 1 = 4.14 21.776 43.060 2= 4.6701 std deviation=     =    2 = 2.1610

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