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b-1. Find the mean and the standard deviation of the number of hours parked. (Do

ID: 3293435 • Letter: B

Question

b-1. Find the mean and the standard deviation of the number of hours parked. (Do not round intermediate calculations. Round your final answers to 3 decimal places.) Mean Standard deviation How long is a typical customer parked? (Do not round intermediate calculations. Round your final answers to 3 decimal places.) b-2 The typical customer is parked for hours c. Find the mean and the standard deviation of the amount charged. (Do not round intermediate calculations. Round your final answers to 3 decimal places.) Mean Standard deviation

Explanation / Answer

a.

to calculate mean we do (1/231)*[sum( x[i]*f[i] ) ]

where x[i]= ith hour

f[i]=frequency of x[i]

to calculated variance we do  (1/231)*[ sum{(x[i]-mean)2*f[i] } ]

SD=sqrt(variance)

mean=4.25974

here SD= 2.114079

b. a typical customer will wait 4.2597 hours

c. the mean is calculated as in part a. it's  16.98268

SD=15.16841

d. the empty column will be given by the original frequency values devided by 231.

for example the first value is 16/231=0.06926407.

thuse we compute all the values.

they are  0.06926407 0.15584416 0.19913420 0.17748918 0.14718615 0.06926407 0.03463203
[8] 0.14718615

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