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? A and B A and C A and D B and C B and D C and D Rooms No. of units 517 1,500 10,945 23,379 27,958 24,675 14,671 17,288 A= event that the unit has at most 2 rooms B = event that the unit has at least 6 rooms 4 6 C = event that the unit has between 3 and 5 rooms, inclusive D= event that the unit has more than 6 rooms 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

Explanation / Answer

a)

A and B           Yes

A and C           Yes

A and D           Yes

B and C           Yes

B and D           No

C and D           Yes

b)

A, B and C           Yes

A, B and D           No

A, C and D           Yes

B, C and D           No

A, B, C and D      No

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