(1) E(E(X)) = E(X) (2) E(X – E(X)) = 0 (3) Var(X) = E(X²) – [E(X)]² (4) Given constants a and b, E(aX + b) = aE(X)+ b and Var(ax + b) = a²Var(X) (5) Given a constant a, E(a) = a and Var(a) = 0.

Q: 5) Given functions T(x) = 3x – x² and S(x) = 4x – 1 find the following: a) (T • S)(x) b) (T – 5)(-)…

A: Note:  In (T o S)(x) , s(x) is input. (T-S)(x) = T(x)-S(x).

Q: If f(x) = a* + 2, g(æ) = x – 7 and h(x) = Va, then f(g(h(x)))= Preview

A:

Q: f(g(h(x)))=

A: Givenf(x)=x4+5, g(x)=x-4 and h(x)=x

Q: f(x) =  1/ x f −1(x) =   f(x) = x3 + 8 f −1(x) =

A:

Q: x)=3/x-1 x −2 −1 0 1 2 3 4 ​f(x)=3/x-1

A: Given : F(x) = 3 / x-1

Q: f(x) =  x2   if x < 0 x + 3      if x ≥ 0 f(−2)  =    f(−1)  =    f(0)  =    f(1)  =    f(2)  =

A:

Q: f(x)=x2+2, g(x)=2x+3 f(f(x)) =

A: Plug f(x)= x^2+2 in f(f(x))

Q: If Mx (t) = X X-t find E(X) E (x²) and var

A: The moment generating function (MGF) is given as follows:

Q: f(x) = x2 + 1 What is f(f(x))?

A:

Q: If f(x) = x + 6 and g(x) = -6, %3D (a) f(g(x)) = (b) g(f(x)) = (c) Thus, g and f are functions.

A:

Q: If f(x) = x + 1 and g(x) = x – 1, – 1, (a) f(g(x)) = (b) g(f(x)) = (c) Thus g(x) is called an…

A: NOTE: Refresh your page if you can't see any equations. . . now for the function f, substitute x-1…

Q: f(x) = (6(x - 1)(2-x) if 1 < x < 2 1⁰ otherwise Determine the mean of the time (E(X)) and square…

A: Pdf given f(x)=6(x-1)(2-x); 1&lt;x&lt;2

Q: f(x) = x² + 1, g(x) = /x + 9 %D f(g(x)) = g(f(x)) =

A:

Q: f(x) = 3 − 7x   f(a + h) − f(a)        h  =

A: Given that f(x)=3-7x fa+h-fah=?

Q: Let f(x) = 2x + 11 f (x) =

A:

Q: If f(x) = x* + 3, g(x) = x – 5 and h(x) = Va, then %3D f(g(h(x))) = %3D

A: NOTE: Refresh your page if you can't see any equations. . .

Q: f(x)=x2+2, g(x)=2x+3 f(f(x))=

A: Given functions are,

Q: If f(x) = x* + 8, g(x) - = x – 4 and h(x) = Va, then - f(9(h(x)))-

A: