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A telemarketer with a success rate of 10% (in each call of making a sale) wishes to be at least 95% confident of making a

A telemarketer with a success rate of 10% (in each call of making a sale) wishes to be at least 95% confident of making a minimum of 2 sales each day. Determine the number of calls the telemarketer should make each day? Comment on the method used and show your detailed working. (b) The random variable X is the number of successes in n independent trial of a n experiment in which the probability of a success at any trial is p. (i) Show that [=+1][=]=()(+1)(1),=0,1,2,..,1. (ii) Apply the result from Question 4(b)(i) above to determine the most probable number of successes when =100,=47.

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