(a) Find E[X] and Var[X]. (b) Find h(E[X]) and E[h(X)]. Which one is greater? (c) Find E[Y] and Var[Y].

Q: Simplify the difference quotient g(x)=f(x+h)-f(x)/h when f(x)=1/x. What happens to g(x) as h -> 0?

A:

Q: Let f(x) = and g(x) = - Find and simplify: (f + g)(x) Select one: A. x²+3x-1 x(x-1) B. -x+3x+1…

A:

Q: Find and simplify the difference quotient [f(x + h) - f(x)]/h, h ≠ 0 for the given function : f(x) =…

A: Given:

Q: A scatter plot shows: Group of answer choices the direction and strength of a relationship between…

A: A scatter plot shows that the direction and strength of a relationship between the independent and…

Q: Let X be a random variable from the Pareto distribution with probability density function {(=10) = {…

A: Solution

Q: Given f (x) = x/(x2 - 4), find and simplify f (3x).

A: given, f(x)=x(x2-4)

Q: For each pair of functions f(x) and g(x), find the following. F(x) = x³ +6; g(x) = = (a) f(g(x))…

A:

Q: For the function f(x) = x2 + 3? and ℎ ≠ 0, evaluate (f(a + ℎ) − f(a))/h

A: f(x) = x2 + 3

Q: Find the value f(3) for the function f(x)=9

A:

Q: Use f(x) = 3x – 2 and g(x) = 5 – x2 to evaluate the expression. | (a) (fo )(x) (b) (g o g)(x)

A: We have to evaluate f composition of f and g composition of g .

Q: What is the physical meaning of |xd(f)| and <Xd(f)?

A: The physical meaning of |x d(f)| and &lt;X d(f) will be-  |x d(f)| =   It defines (gives) the value…

Q: Consider the two (excess return) index-model regression results for stocks A and B. The risk-free…

A: Provided information is ;   Stock A Stock B Index model regression estimates 1%+1.2(rM-rf)…

Q: For f(x)=4xand g(x)=x+5 find the following. a.(f◦g)(x)                            b.(g◦f)(x)…

A:

Q: Find f. g, g. f, and g. g. f(x) = 3x, g(x) = x² (a) fog (b) g.f (c) 9.9

A: given f(x)=3x and g(x)=x4