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Question 8 (6 points): A big stock market company is divided into teams of traders. It was observed that each trader has a 6%

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Question 8 (6 points): A big stock market company is divided into teams of traders. It was observed that each trader has a 6% chance to achieve his performance target, and in this case, the company awards him a bonus. The events of different traders achieving the performance target during the coming year are mutually independent. In a commercial year, the company establishes a fund of 150.000 to the leader of a team of 10. Let C be the bonus (awarded to each trader) that the leader announces to his team. a) Calculate the maximum value of C for which the probability is less than 1% that the fund will be inadequate to cover all payments for performance targets. b) What is the value of the bonus, a "bad leader" will announce? Explain your answer.

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