1. Juan is playing a game in which he can win $100 with probability 0.1, $200 with probability 0.2, or $300 with probability 0.7. What is the expected value of Juan's winnings?

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1. Juan is playing a game in which he can win $100 with probability 0.1, $200 with probability 0.2, or $300 with probability 0.7. What is the expected value of Juan's winnings?


2. The first prize for a raffle is 5,000 dollars (with a probability of 0.001) and the second prize is 2,000 dollars (with a probability of 0.003). What is a fair price to pay for a single ticket in this raffle? Also find the standard deviation

3. You have 100 dollars and can invest into a stock. The returns are volatile and you may get either $120 with probability of 0.4, or $90 with probability 0.6. What is the expected gain/loss of your investment? Find the standard deviation

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