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The Probability Of kk Successes Among nn Independent Trials, Each with Equal Probability of Success

Question 45

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The probability of kk successes among nn independent trials, each with equal probability of success, pp , is: n!x!(nx)!pk(1p)nk\frac { n ! } { x ! ( n - x ) ! } p ^ { k } ( 1 - p ) ^ { n - k } .

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