Answered: Housing Units. The U.S. Census Bureau…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 probability rule. For a U.S.housing unit selected at random, determine
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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