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Homework answers / question archive / 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

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

Statistics

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.

 

(a-2)  Is this a discrete or a continuous probability distribution?

 

 

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

 

 

 

(b-2)  How long is a typical customer parked?

 

 

(c) Find the mean and the standard deviation of the amount charged.

 

 

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 

 

 

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:

 

  1. None use a cell phone as their exclusive service. (Round your answer to 4 decimal places.)

 

 

  1. At least one uses the cell exclusively. (Round your answer to 4 decimal places.)

 

 

      (c)At least five use the cell phone. (Round your answer to 4 decimal places.)

 

 

3.In a Poisson distribution μ = 4.

 

 

(a)What is the probability that X = 2? (Round your answer to 4 decimal places.)

             

 

(b)What is the probability that  X formula316.mml 2? (Round your answer to 4 decimal places.)

 

(c)What is the probability that X > 2? (Round your answer to 4 decimal places.)

 

 

 

4.Automobiles arrive at the Elkhart exit of the Indiana Toll Road at the rate of two per minute. The distribution of arrivals approximates a Poisson distribution.

 

 

  1. What is the probability that no automobiles arrive during a particular minute? (Round your answer to 4 decimal places.)

 

 

  1. What is the probability that at least one automobile arrives during a particular minute? (Round your answer to 4 decimal places.)

 

 

 

5.Choose the correct statements :

 

     A random variable is a quantitative outcome of a chance experiment.      

     A probability distribution includes the likelihood of each possible outcome.    

     A probability distribution is the outcome of an experiment.

     A random variable represents the likelihood of an outcome.

 

 

 

6.A recent article in the Cincinnati Enquirer reported that the mean labor cost to repair a heat pump is $90 with a standard deviation of $22. Monte's Plumbing and Heating Service completed repairs on two heat pumps this morning. The labor cost for the first was $75 and it was $100 for the second. Assume the distribution of labor costs follows the normal probability distribution.

 

 

 

Compute z values for each. (Round your answers to 2 decimal places. Negative amount should be indicated by a minus sign.)

 

 

7.A normal population has a mean of 80.0 and a standard deviation of 14.0

 

(a)Compute the probability of a value between 75.0 and 90.0. (Round intermediate calculations to 2 decimal place. Round final answer to 4 decimal place.)

 

 

 

(b)Compute the probability of a value 75.0 or less. (Round intermediate calculations to 2 decimal place. Round final answer to 4 decimal place.)

 

 

 

(c)Compute the probability of a value between 55.0 and 70.0. (Round intermediate calculations to 2 decimal place. Round final answer to 4 decimal place.)

 

 

 

 

8.Among U.S. cities with a population of more than 250,000 the mean one-way commute to work is 24.3 minutes. The longest one-way travel time is New York City, where the mean time is 38.3 minutes. Assume the distribution of travel times in New York City follows the normal probability distribution and the standard deviation is 7.5 minutes

 

 

a) What percent of the New York City commutes are for less than 30 minutes? (Round your answer to 2 decimal places. Omit the "%" sign in your response.)

 (b) What percent are between 30 and 35 minutes? (Round your answer to 2 decimal places. Omit the "%" sign in your response.)

 (c) What percent are between 30 and 40 minutes? (Round your answer to 2 decimal places. Omit the "%" sign in your response.

9.A normal distribution has a mean of 80 and a standard deviation of 14

 

Determine the value above which 80 percent of the values will occur. (Round z-score computation and your final answer to 2 decimal places.)

 

 

10.The following is a list of hospitals in the Cincinnati (Ohio) and Northern Kentucky Region. Also included is whether the hospital is a general medical/surgical hospital (M/S) or a specialty hospital (S). We are interested in estimating the average number of full- and part-time nurses employed in the area hospitals.

 

 

  1. A sample of five hospitals is to be randomly selected. The random numbers are 09, 16, 00, 49, 54, 12, and 04. Which hospitals are included in the sample? Use ID numbers to identify the hospitals. (Select hospital names included in sample in numerical order.)

 

 

  1. A sample is to consist of every fifth location. We select 02 as the starting point. Which hospitals will be included in the sample? (Hint: Enter the ID number used to identify the hospitals)

 

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