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Problem: Let X be a Random Variable taking possible values {0, 1, 2}. The discrete version of the formula from Problem 1 can be written as: E(X) = Σx P(X = x) (The proof is analogous, no need to prove). Use this formula to solve the following problem: A fair dice is thrown twice. The sample space is {1, 2, 3, 4, 5, 6} and the outcomes of the two throws are denoted by Y1 and Y2. Let Yn denote the largest of the results thrown. With Yn(s1, s2) = max(s1, s2), find: a) E(Yn). Show that E(Yn) = 4. b) Show that Var(Yn) = 35/6.
Submitted by Sara C. Jul. 21, 2022 03:31 p.m.
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