Math

StatisticsSTATISTICS F/BUSINESS+ECONOMICS-TEXTThe 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 (U.S. Census Bureau website, October 2012). Number of Units (1000s) Number of Times Owner Occupied Renter Occupied 0 439 394 1 1100 760 2 249 221 3 98 92 4 times or more 120 111 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.) b. Compute the expected value and variance for 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.) d. Compute the expected value and variance for y . e. What observations can you make from a comparison of the number of water supply stoppages reported by owner-occupied units versus renter-occupied units?BuyFind*arrow_forward*

13th Edition

Anderson

Publisher: CENGAGE L

ISBN: 9781305881884

Chapter 5.3, Problem 18E

Textbook Problem

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 (U.S. Census Bureau website, October 2012).

Number of Units (1000s) |
||

Number of Times |
Owner Occupied |
Renter Occupied |

0 | 439 | 394 |

1 | 1100 | 760 |

2 | 249 | 221 |

3 | 98 | 92 |

4 times or more | 120 | 111 |

- 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.) - b. Compute the expected value and variance for
*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.) - d. Compute the expected value and variance for
*y*. - e. What observations can you make from a comparison of the number of water supply stoppages reported by owner-occupied units versus renter-occupied units?

STATISTICS F/BUSINESS+ECONOMICS-TEXT

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