A court is conducting a jury selection. Let be the number of prospective jurors who will be examined until one is admitted as a juror for a trial. Suppose that is a geometric random variable and , the probability of juror being admitted is 50%, find; (i) the mean and standard deviation  (ii) the probability that more than two prospective jurors must be examined before one is admitted to the jury

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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A court is conducting a jury selection. Let be the number of prospective jurors who will be examined until one is admitted as a juror for a trial. Suppose that is a geometric random variable and , the probability of juror being admitted is 50%, find;
(i) the mean and standard deviation 
(ii) the probability that more than two prospective jurors must be examined before one is admitted to the jury

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