P(A∩B) = P(A|B)*P(B) for an event B such that P(B)>0. Let’s…
P(A∩B) = P(A|B)*P(B) for an event B such that P(B)>0. Let’s consider a partition E1,…Ek of the sample space, namely E1,…,Ek are mutually exclusive, and E1UE2..UEk =S. suppose probability of each partition is positive so we can define P(A|E1),….,P(A|Ek). P(A∩S) =[a] P(AU (E1UE2..UEk)) = [b] Using distributive property, A∩ (E1UE2..UEk)= (A∩E1)U(A∩E2)U….U(A∩Ek) P( A∩ (E1UE2..UEk)) = P((A∩E1)U(A∩E2)U….U(A∩Ek)) = P(A∩E1)+P(A∩E2)+…+P(A∩Ek). The last equality is using the fact that [c] If E1,…Ek have equal probabilities P(A) =[d]
Read DetailsA company compares two investments.Project XNPV: $500,000Req…
A company compares two investments.Project XNPV: $500,000Requires $20 million investmentProject YNPV: $400,000Requires $5 million investmentManagement wants to compare value generated per dollar invested. Which capital budgeting measure is most useful?
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