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In: Statistics and Probability

The American Housing Survey reported the following data on the number of times that owner-occupied and...

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.) x f(x) 0 .96 1 .9 2 .62 3 .23 4 .13 Total 2.84 b. Compute the expected value and variance for x. Total E(x) Var(x) c. Define a random variable y = number of times that renter-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 y = 4 represent 4 or more times.) y f(y) 0 1 2 3 4 Total d. Compute the expected value and variance for y. Total E(y) Var(y)

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