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There are 100 employee in sales office of a multinational company. Let P(Ei) be the probability that exactly i out of 100 employee are infected with swine flu virus. If P(Ei) is directly proportional to i(i + 2); 1 ≤ i ≤ 100. If the probability that a person selected at random is found to be positive for this virus is given by 108p/575, then p is equal to _____.

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P(Ei) = ki(i + 2) (∵ P(E1) + P(E2) + ... + P(E100) = 1)

Therefore,

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