Show all work ( equations and all ) MASTERY Problem) Section 3.5 & 3.6, Problem
ID: 3329507 • Letter: S
Question
Show all work ( equations and all )
MASTERY Problem) Section 3.5 & 3.6, Problem 4: Suppose that four attorneys A1, A2, A3, and A4 deal with all the critical cases in a district court. The following table gives the percentages of the cases that each of these attorneys handles, and also the probability that each loses the case ey Probability of Handling Case Probability of Losing Case orney 40% 25% 25% 10% 0.15 0.30 0.20 0.40 A4 Suppose that a criminal case was lost (L) in the court. Find the probability that this case was handled by Attorney A2 If L is the event that a case is lost, what are these conditional probabilities PLIAI) = PLIA2) = PLI A3) PLIA4) = Next, what is the joint probability of Loss and Attorney A2, P(L n A2) Also, what is the marginal probability of Loss, P(L) = Finally, what is the conditional probability that this lost case was handled by Attorney A2, P(A2 | L)Explanation / Answer
from above P(L|A1) =0.15
P(L|A2)=0.30
P(L|A3) =0.20
P(L|A4) =0.40
P(L n A2) =P(A2)*P(L|A2) =0.25*0.3=0.075
P(L) =P(A1)*P(L|A1)+P(A2)*P(L|A2)+P(A3)*P(L|A3)+P(A4)*P(L|A4)=0.4*0.15+0.25*0.3+0.25*0.2+0.1*0.4
=0.225
P(A2|L)=P(A2)*P(L|A2)/P(L)=0.25*0.3/0.225 =0.3333