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Yanka [14]
4 years ago
3

Define a random variable x = number of times that owner-occupied units had a water supply stoppage lasting 6 or more hours in th

e past 3 months and develop a probability distribution for the random variable. (Let x = 4 represent 4 or more times. Round your answers to four decimal places.)
Mathematics
1 answer:
ollegr [7]4 years ago
6 0

The question is incomplete since the data is missing from it. I am writing the complete question below:

The American Housing Survey reported the following data on the number of times that owner-occupied and renter-occupied units had a water supply stoppage lasting 6 or more hours in the past 3 months.

                                      Number of Houses (1000s)

Number of Times Owner Occupied Renter Occupied

0                                      547                 23  

1                                      5,012          541  

2                                      6,110        3,734  

3                                      2,544        8,660  

4 times or more                 557        3,784  

Do not round intermediate calculations. Round your answers to two decimal places.

a. Define a random variable x = number of times that owner-occupied units had a water supply stoppage lasting 6 or more hours in the past 3 months and develop a probability distribution for the random variable. (Let x = 4 represent 4 or more times.)

Answer:

<u>x           f(x) </u>

0             0.0370

1              0.3393

2         0.4137

3              0.1722

<u>4         0.0378</u>

Total      1

Step-by-step explanation:

Total no. of times owner occupied units had a water supply stoppage lasting 6 or more hours :

547000 + 5012000 + 6110000 + 2544000 + 557000 = 14770000

x = no. of times owner occupied units had a water supply stoppage.

P(x=0) = 547000/14770000

P(x=0) = 0.0370

P(x=1) = 5012000/14770000

P(x=1) = 0.3393

P(x=2) = 6110000/14770000

P(x=2) = 0.4137

P(x=3) = 2544000/14770000

P(x=3) = 0.1722

P(x=4) = 557000/14770000

P(x=4) = 0.0378

<u></u>

<u>x           f(x) </u>

0             0.0370

1              0.3393

2         0.4137

3              0.1722

<u>4         0.0378</u>

Total      1

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