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**[solved]probability question**

## Homework Statement

Three machines A, B, and C produce 50%, 30% and 20% respectively of the total

number of items at a factory. Each produces a number of defective: 3%, 4% and 5%

respectively.

(a) If an item produced by one of these machines is selected, find the probability that

it is defective.

(b) Now suppose that a manufactured item is selected at random and is found to be

defective. Find the probability that this item was produced by machine A.

## Homework Equations

N/A

## The Attempt at a Solution

is part (a)

Pr = (3%+4%+5%)/(50%*30%*20%)?

and no idea on part b

thanks a lot!

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