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An accounting firm serves many companies (clients). Each client submits an annual financial report to the firm for auditing. The report may be fraudulent (denoted by class 1 or C1) or may be truthful (denoted by class 2 or C2). Each client may or may not have legal trouble before (denoted by x). Please compute the propensity of a new client submitting fraudulent report using the pivot table below. Prior Legal (x = 1) No Prior Legal (x = 0) Total Fraudulent (C1) 150 100 250 Truthful (C2) 200 550 750 Total 350 650 1000 Round your answers to 3 digits after the decimal point. P(x = 1C1) - P(x = 01C1) = P(x = 1C2) = P(x = 0 C2) = P(C1) = P(C2) = Given a new client with legal trouble before (x = 1), what is the propensity of this client submitting a fraudulent report? P(C1 x = 1) - Given a new client with legal trouble before (x = 1), what is the propensity of this client submitting a truthful report? P(C2x = 1) = Given a new client with no legal trouble before (x = 0), what is the propensity of this client submitting a fraudulent report? P(C1 x = 0) - P(x = 11C1) - P(x=0C1) = P(x = 1C2) = P(x = 0 C2) = P(C1) - P(C2) = Given a new client with legal trouble before (x = 1), what is the propensity of this client submitting a fraudulent report? P(C1 x = 1) = Given a new client with legal trouble before (x = 1), what is the propensity of this client submitting a truthful report? P(C2x - 1) = Given a new client with no legal trouble before (x = 0), what is the propensity of this client submitting a fraudulent report? P(C1|x =0) = Given a new client with no legal trouble before (x = 0), what is the propensity of this client submitting a truthful report? P(C2x = 0) = An accounting firm serves many companies (clients). Each client submits an annual financial report to the firm for auditing. The report may be fraudulent (denoted by class 1 or C1) or may be truthful (denoted by class 2 or C2). Each client may or may not have legal trouble before (denoted by x). Please compute the propensity of a new client submitting fraudulent report using the pivot table below. Prior Legal (x = 1) No Prior Legal (x = 0) Total Fraudulent (C1) 150 100 250 Truthful (C2) 200 550 750 Total 350 650 1000 Round your answers to 3 digits after the decimal point. P(x = 1C1) - P(x = 01C1) = P(x = 1C2) = P(x = 0 C2) = P(C1) = P(C2) = Given a new client with legal trouble before (x = 1), what is the propensity of this client submitting a fraudulent report? P(C1 x = 1) - Given a new client with legal trouble before (x = 1), what is the propensity of this client submitting a truthful report? P(C2x = 1) = Given a new client with no legal trouble before (x = 0), what is the propensity of this client submitting a fraudulent report? P(C1 x = 0) - P(x = 11C1) - P(x=0C1) = P(x = 1C2) = P(x = 0 C2) = P(C1) - P(C2) = Given a new client with legal trouble before (x = 1), what is the propensity of this client submitting a fraudulent report? P(C1 x = 1) = Given a new client with legal trouble before (x = 1), what is the propensity of this client submitting a truthful report? P(C2x - 1) = Given a new client with no legal trouble before (x = 0), what is the propensity of this client submitting a fraudulent report? P(C1|x =0) = Given a new client with no legal trouble before (x = 0), what is the propensity of this client submitting a truthful report? P(C2x = 0) =