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27 July, 02:31

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. Round your answers to four decimal places.)

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  1. 27 July, 06:28
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    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:

    x f (x)

    0 0.0370

    1 0.3393

    2 0.4137

    3 0.1722

    4 0.0378

    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

    x f (x)

    0 0.0370

    1 0.3393

    2 0.4137

    3 0.1722

    4 0.0378

    Total 1
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