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Housing Units. Refer to 5.65. Among the events A, B, C, and D, identify the collection of events that are mutually exclusive.

Short Answer

Expert verified
  1. A and C
  2. A and D
  3. C and D
  4. A, C and D

Step by step solution

01

Part (a) Step 1. Given information.

A = {1,2,3,4}

B = {2,3,4,5,6,7,8+}

C = {5,6,7}

D = {8+}

02

Part (a) Step 2. If no two events have the same outcome, they are said to be mutually exclusive.

A∩C=ϕA∩D=ϕC∩D=ϕ

As a result, the events listed below are mutually exclusive:

  1. A and C
  2. A and D
  3. C and D
  4. A, C and D

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