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Conditional Probability

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Question 46

In a statistical study, two events M M\,M and N N\,N are such that P(M)=0.45P(M) = 0.45P(M)=0.45, P(M∩N)=0.15P(M \cap N) = 0.15P(M∩N)=0.15 and P(M∣N)=0.6P(M|N) = 0.6P(M∣N)=0.6.

a.

Find P(N)P(N)P(N).

[3]
b.

Find P(M∪N)P(M \cup N)P(M∪N).

[3]
c.

Find P(N∣M′)P(N|M')P(N∣M′).

[3]

Conditional Probability Questions

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