7.33. If E[X] = 1 and Var(X) = 5, find (a) E[(2 + X)²]; (b) Var (4 + 3X).

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A:

Q: 21) Determine f(x) if f(x) = 3x – 5. %3D

A:

Q: 15. (1.3.36) Find fogoh, where f(x) = |x4| g(x) = 2x h(x) = √(x)

A: To find , where

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A: The given function is

Q: Suppose Var(X) = 83, and a = .57. What is Var(aX)?

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A: Given  To find

Q: 3. 5. 17. (f+g) (x) (f-g) (x) (fg) (x) If f(x) = 4x² + 3x -1 and g(x) = -8x + 5, find: (f+g) (-1)…

A: Since you have posted question with multiple parts. As per guidelines, we are supposed to answer…

Q: If the Var[X] = m then how do you find Var[X-k]? E[X] = k.

A: We have given information, VarX=m EX=k

Q: 4) For h(x) = (x – 5)²(x + 4)³ determine the following: d. Determine the end behavior; that is, the…

A: Given hx=x-52x+43

Q: / = 20. Evaluate f (a+ 2) for f(a) 3 4x-8'

A:

Q: 5.) Evaluate f(-3) for f(x) = x³ +3x + 17

A: Given  f(x) =x3+3x+17

Q: Let 11 f(x) dx = 9, 10 Find "f(e) de = [ and nd S 9f(x) - 7 dx 10 [₁ f(x) dx = 7, [1² f(x) dx = 9.…

A:

Q: 1-x 5. If f(x) = 1 and g(x) = 2¹-*; find x+4 a. f ¹ (g(x)) [✓ ✓ ✓] b. The domain and range of…

A:

Q: 4 Find f(x) dx if if x< 2 f(x) if x 2 2.

A: To evaluate the given integral

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A: Find the function definition for the first composite function, as follows:…

Q: 04. + 2- 3r-11 (a) Show that -0 can be rearanged as

A: Given that: f(x)=x3+2x2-3x-11

Q: Determine if the function f(x) = x* + 2x* is even, odd or neither?

A:

Q: 12x iet f (x) = 2x-17 for x 10 a. Find f(4)=_ b. Find f(24)=.

A: The probability density function is fx=12x-17 , for x&lt;106x+2 , for x≥10.