Question: An official from the securities commission estimates that 25% of all investment bankers have profited from the use of insider information. If 15 investment bankers

An official from the securities commission estimates that 25% of all investment bankers have profited from the use of insider information. If 15 investment bankers are selected at random, find the probability that:
a. All 15 have profited from insider information.
b. At least six have profited from insider information.
Suppose the experiment was repeated, and three investment bankers were selected.
c. What is the probability that one of them profited from insider information?

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