Suppose that a person has a lottery ticket from which she will win X dollars, where X

Question:

Suppose that a person has a lottery ticket from which she will win X dollars, where X has the uniform on the interval [0, 4]. Suppose also that the person’s utility function is U(x) = xα for x ≥ 0, where α is a given positive constant. For how many dollars x0 would the person be willing to sell this lottery ticket?
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...