The following table provides a frequency distribution for the number of rooms in

Question

The following table provides a frequency distribution for the number of rooms in this country's housing units. The frequencies are in thousands Among the events A, B, C, and D, identify the collections of events that are mutually exclusive Are each of the following pairings of events mutually exclusive? RoomsNo. of units 539 1,414 10,938 23,400 27,942 24,674 14,698 17,300 2 A and B A and C 4 5 A and D B and C B and D C and D Are each of the following groupings of events mutually exclusive? A, B, and C A, B, and D A, C, and D B, C, and D A, B, C, and D A = event that the unit has at most 3 rooms B event that the unit has at least 4 rooms C event that the unit has between 5 and 7 rooms, inclusive D- event that the unit has more than 6 rooms

Explanation / Answer

A and B -- mutually exclusive

A and C --mutually exclusive

A and D --mutually exclusive

B and C -- not mutually exclusive

B and D-- not mutually exclusive

C and D --not mutually exclusive

A, B and C --mutually exclusive

A, B and D --mutually exclusive

A,C and D --mutually exclusive

b,C and D --not mutually exclusive

A,B,C, and D --mutually exclusive

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