Question

Section 2.4 13. Use the accompanying diagram to determine the probabilities: a) P(Bº) b) P(A) c) PIA UBUC) d) P[ A C ] e) P[AUB] f) P[ CA] .02 .13 i) P[COBOA] 8) P[CUB] h) P[(AUB) I j) P[(89)°7 k) P[(AUBUC) ) P[A – B] m) P[A-(BUC] n) P[A-(BAC 14. Two events, A and B, are such that P(A)=.45,P(B) = 65,P( A B)=.25, determine P(AUB). 15. Two events, A and B, are such that P(A)=.45,P(B)=.65,P(AUB)= 7, determine P(A B ). 16. Two events, A and B, are such that P(A)=.45,P(B) =.65,P( A B) = 25, determine P(BOA). 17. Two events, A and B, are such that P(A)=.45,P( A B)=.35,P(AUB)=.6, determine P(B).

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Answer 1

DAJ = 0.45 PIBJ = 0.65, PCANB): 0,15 PLA & -San V OLAUB) = < P(A) + PIB) - P(ANB) 0.45 +0.65 - 025 0.85 PAI=0:45 PIB) = 0.65 PLAUB) = 0.7 -SPIAN B)= PLAT P(B) -P(AUB) Le Cousto-65- 07 = Ony T PLAS= o.us, P(B) = 0.65 PLANB ) = 0.25 : PLAN B) 2 = PLB) - Plan B ) 0.65 -0.25 = O.yo Lite PLAJ = 0.45; PLAN B) = 0., 3.5, PIAUB) = 0.6 P(B) z PLAUB) - PLASTPLANB) LPCB) 3-0.45 +0.6 +0.35 = 0.5

o 1-P1B) -0.442_0. 0.30 ALLAJ = 3, PLAUBV( )? PCA + PCB) +PCO - Plan __-PCB02 - Plantelonen On 30 +0,44 +.35 0.81 -0.47-0.90 +0. = 0.66 - 4 PLADU) 2.0 pon S. PLAUB) = = PCAS+PIB) -P(ANB, 0.30+ 0.44.- Oops = 0.53 , .67 PCC aj = 0.20 : . F DeenB = 0.91 & PLAUBIC - - PLAUB) - 0.53= 0.47 I V PLANBO) = 0.15. To PIBGC) : P(B) = 0.44 ill: PIAU BUC) ) = < 1- 1 - PLAU BUO 1- 0.66 = 0.34

PLA-B = PLANO PLAY - RCAMB 0.30 - 01 = 2 0,09 3 PLA (BOLJ = PLAN (BUU = PIAS - PC ANBI-PIANO + PLAN BRU 0 : 30 -0.91 - 0.20 +0,1s 0.04 _ - -4) PEA-(BOCJE PIAN (BOU < PCA) - PlanBnc = .0.15