Let {xi} n i=1 denote n iid random variables distributed N(, 2 ) and suppose that = ( > 0). (a) Determine an expression for the probability: P a 0. (b) Give the numerical value of the probability if a = 0.5, b = 1.5, c = 1.487, = 1.5 and n = 16. [You can use the result that under iid normality assumptions X and s 2 are independent. Moreover recall that (n1)s 2 2 2 n

Let {mll denote an iid random variables distributed N (a, 02) and sup pose that ,u = no (a > O). (a) Determine an expression for the probability: P(a,u, 0. (b) Give the numerical value of the probability if a, = 0.5, b = 1.5, c = 1.487, h: = 1.5 and n = 16. [You can use the result that under did normality assumptions X and 32 are independent. Moreover recall that (\"3382 N X314]