Please provide explanation and show how to solve this probability question, it is not needed to answer the bonus question and I have not learned it so far but if you can I'd appreciate it.

Thanks.

1- Consider the following probability model where X depicts the different prizes for a lottery in S and the corresponding probabilities. X=x 1} 1D!) SDI} IDDI} P(X=x) | 115 on on [1.1 a. What is the expected (mean) value of X? b. What is the standard deviation of X? Now consider the following probability model where '1' depicts the different prizes for a lottery in S and the corresponding probabilities. Y = l} IU 50 ll P(F= y) | 115 112 112 [1.1 it. What is the exPected {mean} value on? d. What is the standard deviation of Y? 1:. Which lotteryF is riskier: X or Y? Ill-\"by? [Optional bonus question] Would a risk neutral person buy a lotteryr ticket for X and a lottery ticket for Y if they jointlj,r cost $250? Why