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Mathematics, 06.11.2020 02:20 Joejar63

3. You are a senior consultant at a highly prestigious agency. You did a great job in 2020, which means you are eligible for a bonus payment.
Your boss gives you three options:
1. You flip a coin 10 times, and for every head you obtain $2,000.
2. You roll three dice and obtain $1,000 for every dot you count.
3. You get paid $9,000.

(a) Which option has the highest expected payout? Justify your answer.

(b) Which options are acceptable to you, if you want to be at least 95% sure to obtain
at least $6.000? Justify your answer.

(c) Which option should you choose to maximise your chances for a $16.000 bonus
payment? Justify your answer.

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Answers: 3

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