Consider the following scenario: • Let P(C) = 0.2 • Let P(D) = 0.3 • Let...

Question

Question

Consider the following scenario: • Let P(C) = 0.2 • Let P(D) = 0.3 • Let P(C | D) = 0.4

A) FIND P(C AND D)=

B)Are C and D mutually exclusive? Why or why not?

C and D are mutually exclusive because they have different probabilities.

C and D are not mutually exclusive because P(C) + P(D) ≠ 1

There is not enough information to determine if C and D are mutually exclusive.

C and D are not mutually exclusive because P(C AND D) ≠ 0

C) Are C and D independent events? Why or why not?

The events are independent because they are mutually exclusive.

The events are not independent because P(C | D) ≠ P(C)

The events are not independent because the sum of the events is less than 1.

The events are not independent because P(C) × P(D) ≠ P(C | D)

D) Find (D I C).

Answer 1

Answer #1

Answer 2

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