Question

(a)Is it possible to have events A, B and D such that P(AID) < P(BID) and P(AID) < P (BID"), yet P(A) > P(B). You must justify your answer by either showing that it is never possible or by giving an example to show that it is possible. (b) Is it possible to have events A, B and D such that P(A BnD)< P(AB n D) and P(AİBnD") < P(AİB'nD"), yet P(AIB) > P(AIB")? You must justify your answer by either showing that it is never possible or by giving an example to show that it is possible. Hint: you may find it helpful to consider the results below from a medical study [1) comparing the success rates for two treatments for kidney stones. Treatment X Treatment Y Successful Not successful | Total Successful Not successful Itotal 270 Small stones 81 Large stones 192 Total273 87 263 234 36 25 71 80 289

Answer 1

Cven the letD bote pCple ) ,@tDly)-6.。3 =oe' ) ρ(%):ooy elphes deletne - P(O) 0.022 0 tuo