Concept explainers
Housing Units. The U.S. Census Bureau publishes data on housing units in American Housing Survey for the United States. The following table provides a frequency distribution for the number of rooms in U.S. housing units. The frequencies are in thousands.
Rooms | No. of units |
1 | 601 |
2 | 1,404 |
3 | 11,433 |
4 | 23,636 |
5 | 30,440 |
6 | 27,779 |
7 | 17,868 |
8+ | 19,257 |
Compute the following conditional probabilities directly; that is, do not use the conditional
- a. the probability that the unit has exactly four rooms.
- b. the conditional probability that the unit has exactly four rooms, given that it has at least two rooms.
- c. the conditional probability that the unit has at most four rooms, given that it has at least two rooms.
- d. Interpret your answers in parts (a)–(c) in terms of percentages.
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