Question: Should provide full answer 4. X and Y are two events such that P(X|Y) = 0.4, P(Y) = 0.25 & P(X) = 0.2. Find (a)

Should provide full answer

4. X and Y are two events such that P(X|Y) = 0.4, P(Y) = 0.25 & P(X) = 0.2. Find (a) P(Y X) ( b) P ( X ny ) (c) P(XUY) 5. Data about employment for males and females in a small rural area are shown in the table. Unemployed Employed Male 206 412 Female 358 305 A person from this area is chosen at random. Let M be the event that the person is male and let E be the event that the person in employed. i . Find P(M). ii. Find P(M and E) iii. Are M and E independent events? Justify your answer. iv. Given that the person chosen is unemployed, find the probability that the person is female

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