Function px x n x 0 px q nx if x 0 1 2

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Unformatted text preview: function: pX (x ) = n x 0 px q n−x if x = 0, 1, 2, . . . , n otherwise n n! where x = x !(n−x )! counts the number of ways of distributing x successes among n trials, and n! = n × (n − 1) × . . . × 3 × 2 × 1 Statistics: µ = E (X ) = np σ 2 = Var(X ) = npq Math 30530 (Fall 2012) Discrete Random Variables October 7, 2012 3 / 10 The Geometric random variable Name: Geometric(p) When to use: When you want to count how many times you have to repeat the same experiment, independently of each other, until you first have success Parameter: p: the probability of success on each individual trial Mass function: pX (x ) = q x −1 p i...
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