Suppose that five microchips in a production run of fifty are defective. A sample of seven is to be selected to be checked for defects. (a) How many different samples of seven can be chosen from the production run of fifty? 2,035,800 x (b) How many samples will contain at least one defective chip? The set of samples that do not contain any defective chips and the set of samples that contain at least one defective chip are [disjoint sets. So, the number of samples with at least one defective chip is 1555100 71.6 (c) What is the probability (as a percent) that a randomly chosen sample of seven contains at least one defective chip? (Round your answer to one decimal place.) x %

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