Let Z~N(0, 1) and X ~ N(2,4). (a) Calculate E[Z]. (b) Calculate E[X4] (hint: try expressing X as a function of Z, and note E[Z"] = 0 whenever n is odd)

Five people (Alex, Byron, Chloe, Dexter, and Emily) form a club, N = {A, B, C, D, E). Chloe and Emily are women, and the others are men. If they choose a president randomly, find the odds against Emily becoming president. The odds against Emily becoming president are to (Type whole numbers.)

The function, f(x), in the graph below has f(1) = 1 and f'(1) = = 2. Which of the following are the coordinates of points A and B? A f(x) 1 1.1 Select one: A(1,1) and B(1.1, 1.2) A(1,2) and B(1.1, 1.21) A(1.2,1) and B(1, 2) A(1,1) and B(1.1, 1.21) A(2,1) and B(1.2, 1.1)

5 Suppose this graph represents the function x). At what value(s) of x does f'(x)> 0 and f"(x) = 0? A -1 -2 1 2 0. 6 Suppose this graph represents the function fx). For what value(s) of x does f"(x) = 0 and f"(x) < 0? A -1 -2 1 2

Let f(x) = 2+ X + 3 e* . Let g be the inverse function of f. Find g'(5).

Suppose that for the functions f(x) and g(x), f'(x) = g'(x) on [10, 12] ƒ(10) = 9 g(10) = -9 ƒ(12) = 11 What is the value of g(12)? Provide your answer below: g(12)=