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a. A very large shipment of parts contains 20% defectives. Two parts are chosen at random fromthe shipment and checked. Let the random variable X denote the number of defectives found.Find the probability distribution of this randomvariable. b. A shipment of 20 parts contains 4 defectives. Twoparts are chosen at random from the shipment andchecked. Let the random variable Y denote thenumber of defectives found. Find the probabilitydistribution of this random variable. Explain whyyour answer is different from that for part (a). c. Find the mean and variance of the random variableX in part (a). d. Find the mean and variance of the random variableY in part (b)
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