Then find E[X], E[X2], E[2X+5], E[(X+1)²].

Q: %# m ST Consider the data with analysis shown in the following computer output: Level N Mean StDev A…

A:

Q: logs(x) if 3 s x 56 if 0 < x < 3 +1 if -2 s*s0 x-2 Let f(x) = %3D x+1 Find f ().

A: Given fx=log5x2if 3≤x≤6x-2x+1if 0&lt;x&lt;3x2+1if -2≤x≤0

Q: Given f(x)=log,(x) and g(x)=2x-2. Find the value of x such that Aflg(x)))=2.

A:

Q: In each case, select the function that dominates the other as x → ∞o? (a) O 50x² (b) 0.02x³ O In(x +…

A: limx→∞0.02x350x2=limx→∞0.02x50=∞    Therefore, 0.02x3, will dominates over 50x2

Q: Use the table below to find f(x)f(x). Assume that f(x)f(x) is an exponential function.       A)…

A:

Q: If E[X] = −3 and Var(X) = 5, then E[(5 + 6X)²] = and Var(3 + 5X) =

A:

Q: Write the expression in terms of ln x, ln (x+4) and ln (x+5) for both photos

A: Need to simplify given equations

Q: Let X1, X2, X3 and X4 be a random sample from population with pdf X, 0 < x < 1 fx(x) = |0,…

A: Given information: The probability distribution function is fXx=x,    0&lt;x&lt;10,    otherwise.

Q: Evaluate f(x) = log, (x) for f(4). f(4) =

A: NOTE: Refresh your page if you can't see any equations. . take x=4

Q: Find f(0) and f(2) for the given exponential function. f(x) = 5-X %3D f(0) f(2) %3D

A:

Q: Find the exponential function of the form fx) =ab* for which -3) = 7and f(O) =2.

A:

Q: Let f(x)=x³ and g(x)=Jx, and h(x)=–. Find each of the following: 3 g(h(f(x))) g(h(f(x))) =

A:

Q: If h(x) = (4x – 7)/5   then h-1(x) =

A:

Q: f(x) − log2(1 - 3x)

A:

Q: Find f(0) and f(3) for the given exponential function. f(x) f(0) = %3! f(3) =

A: We can solve the exponential function as below.

Q: Let f(x) = x=") – (x²)*, x > 0. %3D -

A: We are given f(x)=xxx-xxx, x&gt;0. As per the question,  we need to solve f(x)=xxx-xxx≤0,   x&gt;0.

Q: If E[X] = 5 and Var(X) = 4, then E[(4 + 5X)²] = [] and Var(3+5X) 0

A: Given that :E(X)= 5 and Var( X )=4 .For a random variable X…

Q: to get from E[X-E (x)] ² the steps. Show how to E[x²] - [E(~x)]². Show

A:

Q: e. f(x) = 2* OA. O(x²) B. Q(x²) C. O(x²) В. f. f(x) = [x][x] (floor of x times ceiling of x) OA.…

A: Option (B) is the correct answer.

Q: [cx)= (x+1) 「cx)-(x_)[cxー1) (xー1)「cx-1) [(-x)= [(1-x) |

A: Γ(x)=∫0∞tx-1e-tdt  for x&gt;0Γ(x+1)=∫0∞txe-tdt =-txe-t0∞+x∫0∞tx-1e-tdt=xΓ(x)⇒Γ(x)=Γ(x+1)x Now,…

Q: Show that E( X - K )2 = var( X) + [E(X) - K]2

A: var(X)=E(X2)-E(X)2 E(a)=a  where a is constant (a-b)2=a2-2ab+b2

Q: Express the function h(x) = 5log(x² + 6) the form fog. If f(x) = 5log(x), find the function g(x)

A: We can find the function g(x) from the given composite function in the below steps.