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Step-by-step explanation:
(a) PA= P(E1) + P(E5)+P(E8)
0.08+0.1+0.07=0.25
(b) P(B) =P(E2) + P(E5) +P(E8) + P(E9)
0.08+.0.1+0.07+0.07 =0.32
P(AOB) = P(A)+P(B)-P(AOB)
Now AOB= {E(5),E(8)}
P(AOB)=P(E5) +P(E8) =0.1+0.07= 0.17
P(AOB)=0.25+0.32-0.17=0.40
(c) P(AOB) = E(1),E(2),E(5),E(8),E(9)
P(AOB)= P(E1)+P(E2)+P(E5)+P(E8)+P(E9)
P(AOB)= 0.08+0.08+0.1+0.07+0.07)=0.40
(d) P(Bdash) = 1-P(B) =1.-0.32=0.68
Bdash= E1,E3,E4,E6,E7
P(Bdash) = P(E1)+P(E3)+P(E4)+P(E6)+P(E7)
0.08+0.1+0.1+0.2+0.2+0.68
Answered by
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(a) PA= P(E1) + P(E5)+P(E8)
0.08+0.1+0.07=0.25
(b) P(B) =P(E2) + P(E5) +P(E8) + P(E9)
0.08+.0.1+0.07+0.07 =0.32
P(AOB) = P(A)+P(B)-P(AOB)
Now AOB= {E(5),E(8)}
P(AOB)=P(E5) +P(E8) =0.1+0.07= 0.17
P(AOB)=0.25+0.32-0.17=0.40
(c) P(AOB) = E(1),E(2),E(5),E(8),E(9)
P(AOB)= P(E1)+P(E2)+P(E5)+P(E8)+P(E9)
P(AOB)= 0.08+0.08+0.1+0.07+0.07)=0.40
(d) P(Bdash) = 1-P(B) =1.-0.32=0.68
Bdash= E1,E3,E4,E6,E7
P(Bdash) = P(E1)+P(E3)+P(E4)+P(E6)+P(E7)
0.08+0.1+0.1+0.2+0.2+0.68
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