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.)

The probability distribution for x is:

Step-by-step explanation:

The question is incomplete.

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)

#        Owner OccupiedRenter Occupied

        0         547  23  

        1      5,012  541  

        2             6,110  3,734  

        3      2,544  8,660  

        4+      557  3,784

The sample space of x is [0,1,2,3,4].

We can calculate the probabilities of x as the relative frequency of each value of x.

The total sample size of owner-occupied houses is:

Then, the relative frequencies (equal to the probability) are:

y - y1 = m(x- x1)

y - (-5) = 2/3(x -0)

y + 5 = 2/3x

y = 2/3x - 5