1.6k views
0 votes
For two events, M and N, P(M)=0.7, P(N|M)=0.3, and P(M'|N')

User Flafoux
by
9.3k points

1 Answer

3 votes
Topic:Conditional Probability

For any two events A and B, where P(B) ≠ 0, P( A | B ) = P( A ∩ B ) / P( B ) = P( B | A) * P(A) / P(B)..i.e..{the probability of A given B is equal to the probability of A and B divided by the probability of B}

For a set of events A1, A2, A3, ... , An,
hence,
P(B)
= P(B and A1) + P(B and A2) + ... + P(B and An)
= P(B | A1) * P(A1) + P(B | A2) * P(A2) + ... + P(B | An) * P(An)

P(M | N)
= P(N | M) * P(M) / P(N)
= P(N | M) * P(M) / (P(N | M) * P(M) + P(N | M') * (1 - P(M)))
Substitute Values.... you get ?

User Nurnachman
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories