Answer:
The correct answer is, P (B | A) = 0.0833.
Step-by-step explanation:
It is provided that:
A = the event that the next component brought in for repair is an audio component.
B = the event that the next component is a compact disc player
The event B is contained in A. This implies that P (B) = P (A and B) .
P (A) = 0.60 and P (B) = P (A and B) = 0.05.
According to the conditional probability rule:
[tex]P(X|Y)=\frac{P(X\cap Y)}{P(Y)}[/tex]
Determine the probability of the event (B | A) is:
[tex]P (B|A)=\frac{P(A\cap B)}{P(A)}=\frac{0.05}{0.60}= 0.0833[/tex]
Thus, the probability of event B given event A is 0.0833.
