Suppose , , and…

MATHEMATICS · Multi-part · A Level · Mathematics · Probability · Probability

Problem

Suppose P(C)=920P(C) = \frac{9}{20} , P(D∣C)=14P(D | C) = \frac{1}{4} , and P(D∣C′)=15P(D | C') = \frac{1}{5} . (1) Find P(D)P(D) . (2) Are CC and DD independent events? Justify your answer.

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