Please provide a step-by-step solution so that I can teach myself how to solve the problem.

#3 MT PROBLEM 3 ( Nov. 2020) some gambles. A consumer has a utility function with the expected utility property. Lottery A yields $10 with probability ; and $0 with probability 7- Lottery B yields $4 with probability 1. Lottery C yields $10 with probability }, $4 with probability 2, and $0 with probability } A. The consumer prefers lottery A to lottery B. Can we infer anything about the consumer's preference between A and C? If so, what can we infer and why? risk neutral? B. Suppose this consumer has a utility for wealth of v(w) = swi. Is this consumer risk loving, risk averse, or C. The consumer has initial wealth of w. Write down an equation for the certainty equivalent of lottery A in terms of wy. D. (this is for fun) Would you rather have a lottery that pays $10 with probability , or $10 for sure if you answered part d of the previous problem correctly