Let E= the event that the car is of standard quality. Let A1= the event that the car is manufactured in plant X. and A2= the event that the car is manufactured in plant Y. Now, P(A1)=
70
100
=
7
10
,P(A2)=
30
100
=
3
10
P(
E
A1
)= Probability that a standard quality car is manufactured in plant X=
80
100
=
8
10
P(
E
A2
)= Probability that a standard quality car is manu factured in blant Y=
90
100
=
9
10
P(
A1
E
)= Probability that a standard quality car has come from plant X =