Question

The Downtown Parking Authority of Tampa, Florida, reported the following information for a sample of 221...

The Downtown Parking Authority of Tampa, Florida, reported the following information for a sample of 221 customers on the number of hours cars are parked and the amount they are charged.

Number of Hours Frequency Amount Charged
1 19 $ 3
2 34 6
3 46 12
4 39 18
5 35 21
6 13 24
7 7 26
8 28 30
  
221
  
a.

Convert the information on the number of hours parked to a probability distribution. (Round your answers to 3 decimal places.)

  
  Hours Probability
1    
2    
3    
4    
5    
6    
7    
8    
a-2. Is this a discrete or a continuous probability distribution?
  
  • Continuous

  • Discrete

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   
b-2.

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

  
  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   

Homework Answers

Answer #1

a) dividing each frequency cell with total frequency:

hours probability
1 0.086
2 0.154
3 0.208
4 0.176
5 0.158
6 0.059
7 0.032
8 0.127

a-2) discrete

b-1)

mean =4.106 ( please try 4.104 if this comes wrong)

std deviation =2.074 ( please try 2.072 if this comes wrong)

b-2)   The typical customer is parked for 4.106 hours

c)

mean =16.222 ( please try 16.218 if this comes wrong)

std deviation =8.351 ( please try 8.344 if this comes wrong)

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