5. On n = [0, 1] let S(w) = 100 e. If the difference S(w) - 100 is greater than a, we get ae" and we pay ae" otherwise,

[answerhappygod]

5 On N 0 1 Let S W 100 E If The Difference S W 100 Is Greater Than A We Get Ae And We Pay Ae Otherwise 1 (9.89 KiB) Viewed 24 times

5. On n = [0, 1] let S(w) = 100 e. If the difference S(w) - 100 is greater than a, we get ae" and we pay ae" otherwise, where a is a positive number. Denote the result of this game by H(w). a) Let a 10. Find the form of H. 5 marks b) Find the expectation of H for arbitrary a. 15 marks b) For which a the expectation of H is largest? 10 marks