Statistics homework - 1.The Downtown Parking Authority of...

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1.The Downtown Parking Authority of Tampa, Florida, reported the following information for a sample of 250 customers on the number of hours cars are parked and the amount they are charged. Number of Hours Frequency Amount Charged 1 20 $3.00 2 38 6.00 3 53 9.00 4 45 12.00 5 40 14.00 6 13 16.00 7 5 18.00 8 36 20.00 250 (a-1) Convert the information on the number of hours parked to a probability distribution. (Round your answers to 3 decimal places.) Hours Probability 1 0.08 2 0.152 3 0.212 4 0.18 5 0.16 6 0.052 7 0.02 8 0.144 (a-2) Is this a discrete or a continuous probability distribution? This is a discrete probability distribution for the random variable called “number of hours” because it is expected that the cars to be park only for a certain number of hours like 1, 2, 3, etc. (b-1) Find the mean and the standard deviation of the number of hours parked. (Round your answer to 2 decimal places.) 14 . 4 144 . 0 8 02 . 0 7 052 . 0 6 16 . 0 5 18 . 0 4 212 . 0 3 152 . 0 2 08 . 0 1 = + + + + + + + = μ 093 . 2 38 . 4 144 . 0 9 . 14 02 . 0 18 . 8 052 . 0 46 . 3 16 . 0 74 . 0 18 . 0 02 . 0 212 . 0 3 . 1 152 . 0 58 . 4 08 . 0 86 . 9 2 2 = = = = + + + + + + + = σ (b-2) How long is a typical customer parked? (Round your answer to 2 decimal places.)
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= = = + + + + + + + 223 60 7 . 3 250 8 36 7 5 6 13 5 40 4 45 3 53 2 38 1 20 3 hours 43 minutes (c) Find the mean and the standard deviation of the amount charged. (Round your answer to 2 decimal places.) Amount charged Probability 3 0.03 6 0.061 9 0.092 12 0.122 14 0.143 16 0.164 18 0.184 20 0.204 55 . 4 7 . 20 77 . 14 204 . 0 20 184 . 0 18 164 . 0 16 143 . 0 14 122 . 0 12 092 . 0 9 061 . 0 6 03 . 0 3 2 = = = = + + + + + + + = σ μ 2.It is reported that 16 percent of American households use a cell phone exclusively for their telephone service. In a sample of eight households, find the probability that: (a) None use a cell phone as their exclusive service. (Round your answer to 4 decimal places.) (b) At least one uses the cell exclusively. (Round your answer to 4 decimal places.)
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Statistics homework - 1.The Downtown Parking Authority of...

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