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hjlf
4 years ago
8

A shop repairs both audio and video components. Let A denote the event that the next component brought in for repair is an audio

component. Event B is the event that the next component is a CD player (so event B is contained in A). Suppose that P(A) = 0.6 and P(B) = 0.05. What is P(B|A)?
Mathematics
1 answer:
kow [346]4 years ago
5 0

Answer: 0.6

Step-by-step explanation:

The probability formula to find p(B/A) is :

P(B/A) = p(A n B) / p(B)

Which means that A is contain in B and p(A n B) is p(A)

p(A n B)= p(A)=0.6 × 0.05 = 0.03

p(B)=0.05

Therefore

P(B/A) = p(A n B) / p(B)=p(A) / p(B)

P(B/A)=0.03 / 0.05

P(B/A)=0.6

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The distributive property teaches us how to properly multiply in examples like the answer I have given.

In my example : 2 * (4 + 12x) = 8 + 24x

We would take the 2 that is on the outside of the equation in the parenthesis and multiply it first with the 4, and then with the 12x. This results in 8 + 24x.  

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When we do that we see that 8 + 24 is equal to 32.

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