Risk Neutral and averse choice under uncertainty Microeconomics

Consider a LOTTERY with 3 possible outcomes:$.100 will be received with probability of 0.1. $50 will be received with probability of 0.2. $.10 will be received with probability of 0.7
1) What will be the Expected payoffs of the Lottery?
2) what would be the Risk neutral person pay to play the Lottery?
3) Suppose an individual have a VNM utility functions u(y)= √y. What would she pay to play the Lottery?

[@alurad12]

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