See the following question below:

Exercise 4.2.1. Let X be a random variable with X as N01, 5); a, b 6 111+. In what follows, we use the following notation: a For any interval I g R, the function x; is dened by 1 Heel, \"(3): 0 otherwise. 0 For any real valued function f, we denote by (f(a:))+ the following: (HI)? = max {0, 113)} Determine the following expected values. (e) E [ex 3'10: K] (Lex)] , where K, L E R are positive constants. (i) E [(K Lex)+] , where K, L E R are positive constants