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Problem #1: A box consists of 14 components, 6 of which are defective. (a) Components are selected and tested one at a time, without replacement,

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Problem #1: A box consists of 14 components, 6 of which are defective. (a) Components are selected and tested one at a time, without replacement, until a non-defective component is found. Let X be the number of tests required. Find P(X= 6). (b) Components are selected and tested, one at a time without replacement, until two consecutive non defective components are obtained. Let X be the number of tests required. Find P(X= 5). Problem #1(a): Round your answer to 4 decimals. Problem #1(6): Round your answer to 4 decimals

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