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Among 15 metal parts produced in a machine shop, 3 are defective. If a random sample of 12 of these metal parts is selected, find:

Among 15 metal parts produced in a machine shop, 3 are defective. If a random sample of 12 of these metal parts is selected, find:

(a)The probability that this sample will contain at least two defectives.(Do not round the intermediate answers. Round your answer to 4 decimal places.)

(b)The probability that this sample will contain at most one defective.(Round your answer to 4 decimal places.)

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