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6) An official from the securities commission estimates that 70% of all online bankers have profited...

6) An official from the securities commission estimates that 70% of all online bankers have profited from the use of insider information. Assume that 15 online bankers are selected at random from the commission's registry. Use the binomial formula or table (see last page) to answer the following questions. If using table, do not round final answers. Otherwise, round to 4 decimal places. a) What is the probability that exactly 8 have not profited from insider information? b) What is the probability that at most 5 have profited from insider information? c) What is the probability that not all the selected online bankers have profited from insider information? d) What is the probability that more than 12 have profited from insider information? e) How many of the 15 online bankers would you expect to have profited from insider information?

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