# Question

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 ............. 637

2 ............. 1,399

3 ............. 10,941

4 ............. 22,774

5 ............. 28,619

6 ............. 25,325

7 ............. 15,284

8+ ............ 19,399

For a U.S. housing unit selected at random, let

A = event the unit has at most four rooms,

B = event the unit has at least two rooms,

C = event the unit has between five and seven rooms, inclusive, and

D = event the unit has more than seven rooms.

Describe each of the following events in words, and determine the number of outcomes (housing units) that constitute each event.

a. (not A)

b. (A & B)

c. (C or D)

Rooms No. of units

1 ............. 637

2 ............. 1,399

3 ............. 10,941

4 ............. 22,774

5 ............. 28,619

6 ............. 25,325

7 ............. 15,284

8+ ............ 19,399

For a U.S. housing unit selected at random, let

A = event the unit has at most four rooms,

B = event the unit has at least two rooms,

C = event the unit has between five and seven rooms, inclusive, and

D = event the unit has more than seven rooms.

Describe each of the following events in words, and determine the number of outcomes (housing units) that constitute each event.

a. (not A)

b. (A & B)

c. (C or D)

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