A study reports that a particular gene in 0.2% of all people is defective. X is the

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A study reports that a particular gene in 0.2% of all people is defective. X is the number of randomly selected people, up to and including the first person that has this defective gene. Given that P(X ≤ b) > 0.865, find E(X ) and find the smallest possible value of b.

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