Half of a set of the parts are manufactured by machine a and half by machine b. ten percent of all the parts are defective. six percent of the parts manufactured on machine a are defective. find the probability that a part was manufactured on machine a, given that the part is defective. (round your answer to 4 decimal places.) probability

The probability that a part was manufactured on machine A is 0.3

Step-by-step explanation:

Consider the provided information.

It is given that Half of a set of parts are manufactured by machine A and half by machine B.  

P(A)=0.5

Let d represents the probability that part is defective.

Ten percent of all the parts are defective.

P(d) = 0.10

Six percent of the parts manufactured on machine A are defective.

P(d|A)=0.06

Now we need to find the probability that a part was manufactured on machine A, and given that the part is defective :

Hence, the probability that a part was manufactured on machine A is 0.3

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