Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. statistics
  3. the downtown parking authority of tampa, florida,

The Downtown Parking Authority of Tampa, Florida, reported the following information for a sample of 228...

Free

80.2K

Verified Solution

Question

Statistics

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

Number ofHoursFrequencyAmount Charged
121$4
2366
3539
44013
52214
61116
7918
83622
228


Click here for the Excel Data File

a-1. Convert the information on the number ofhours parked to a probability distribution. (Round youranswers to 3 decimal places.)

a-2. Is this a discrete or a continuousprobability distribution?

Discrete

Continuous

b-1. Find the mean and the standard deviationof the number of hours parked. (Do not round theintermediate calculations. Round your final answers to 3 decimalplaces.)

b-2. How long is a typical customer parked?(Do not round the intermediate calculations. Round yourfinal answer to 3 decimal places.)

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

rev: 10_12_2018_QC_CS-142885

Answer & Explanation Solved by verified expert
3.9 Ratings (753 Votes)

a-1)

x P(x)
1 0.092
2 0.158
3 0.232
4 0.175
5 0.096
6 0.048
7 0.039
8 0.158

a-2) Discrete

b-1)

x P(x) xP(x) x2*P(x)
1 0.092 0.092 0.092
2 0.158 0.316 0.632
3 0.232 0.696 2.088
4 0.175 0.700 2.800
5 0.096 0.480 2.400
6 0.048 0.288 1.728
7 0.039 0.273 1.911
8 0.158 1.264 10.112
4.109 21.763
E(x) =μ= ΣxP(x) = 4.109
E(x2) = Σx2P(x) = 21.763
Var(x)=σ2 = E(x2)-(E(x))2= 4.879
std deviation=         σ= √σ2 = 2.209

mean =4.109

std deviation =2.209

b-2)

How long is a typical customer parked =4.109

c)

x P(x) xP(x) x2*P(x)
4 0.092 0.368 1.472
6 0.158 0.948 5.688
9 0.232 2.088 18.792
13 0.175 2.275 29.575
14 0.096 1.344 18.816
16 0.048 0.768 12.288
18 0.039 0.702 12.636
22 0.158 3.476 76.472
11.969 175.739
E(x) =μ= ΣxP(x) = 11.969
E(x2) = Σx2P(x) = 175.739
Var(x)=σ2 = E(x2)-(E(x))2= 32.482
std deviation=         σ= √σ2 = 5.699

mean =11.969

std deviation =5.699
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Algebra
1.2K views

There are 22 students in Mr. Elski's class. Thirteen of the students are female and...

Psychology
1.2K views

how does a person’s education affect how many hours per week she or he is likely...

Statistics
1.2K views

A radar unit is used to measure the speed of cars on a highway during rush...

General Management
1.2K views

McDonald’s is a well-known fast food chain throughout the world. In recent years, it has worked...

Physics
1.2K views

An aeroplane flying horizontally with a velocity c 216 km h drops a food packet...

Basic Math
1.2K views

The minute hand of a clock is 11 inches long How far does the tip...

Basic Math
1.2K views

Find the solution of the linear inequality and express the solution set in set-builder notation...

Algebra
1.2K views

You want to have 100 000 in an account after 30 years for your retirement...

Accounting
1.2K views

For a discussion forum post that provides one example for each of the four adjusting...

Accounting
1.2K views

Garden Sales, Incorporated, sells garden supplies. Management is planning its cash needs for the second...

Accounting
1.2K views

Austin, Inc manufactures model airplane kils and projects production at 500,360,400, and 350 kits for...

Finance
1.2K views

1-A project requires an investment of $100 today. The present value of the projects expected...