Independent trials, each with the probability of 'success' p, are carried out. The random variable X counts
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Independent trials, each with the probability of 'success' p, are carried out. The random variable X counts the number of trials up to and including that on which the first success is obtained. Write down an expression for P(X = x) for x = 1, 2, .... Show that the probability generating function of X is G_{x}(t)= pt(1 – qt)^{1}.
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Related Book For
Cambridge International AS & A Level Further Mathematics Coursebook
ISBN: 9781108403375
1st Edition
Authors: Lee Mckelvey, Martin Crozier
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