If Var[X+Y]=3, Var[X-Y]=1, E[X]=1 and E[Y]=2, then what is E[XY]?

Q: suppose f (2) = 4, f ′(2) = 6, g(2) = −1, g′(2) = 3, and f ′(−1) = 5. Give h′(2) when h is defined…

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Q: If E (X) = 1 and Var (X) = 4 then E (X² + 2X – 1) = :- 1)

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Q: 1. If f(x) = x-1 and g(x) = 2x, what is g(f(x))? c. 2x -1 %3D а. х-2 b. 2х-1 d. 2x-2

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Q: Find f(x).

A: Given,

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

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Q: (3)f(x) = x – [x]; 0x=5 (i) x=

A: Greatest integer function:  A function that results  in the greatest integer less than or equal to…

Q: Let f(x) = 3x + 1, x, = -1, x, = 0, x3 = 1, x4 = 2, and X5 = 3. Find E f(x,).

A: we have the given the following details   f(x)=3x+1x1=-1x2=0x3=1x4=2x5=3We have to find∑i=15f(xi)

Q: Show that E(X-µ)³ = E(x³) −3 [E (x²) ][E(X)] + 2[E(X)]³

A: The linearity of expectation property: With the assumption that, Xi's (i=1,2,...n) with n positive…

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

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Q: If f (x) is a linear function, f (1) = 0, and f (2) = 1, what is f (3)?

A: fx is a linear function such that f1=0 & f2=1

Q: If h(x) = [f (x)]2 + 1g(x), determine h(1) and h(1), given that f (1) = 1, g(1) = 4, f (1) = -1,…

A: Given: hx=fx2+gx  ……1   Also, f1=1g1=4……2   and, f'1=-1g'1=4……3

Q: If E[X]=−1E[X]=−1 and Var(X)=5Var(X)=5, then E[(3+4X)2]= and Var(2+5X)=

A: Given, E[X]=-1 Var[X]=5 Concept: E[Constant]=constant Var[constant]=0

Q: 4. Let f(x)= |x| and g(x) = x-3. (a) Determine the formulas for each of the related composite…

A: The composite function is defined as when the output of one function is used as the input of another…

Q: Find a formula for f−1(x) and then verify that f−1(f(x))=x and ff−1(x)=x.   ​f(x)=

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Q: Find functions g and h such that f(x) = g(h(x)). f(x) = e4x + 2 A. g(x) = 4x+2, h(x) = ex OB. g(x)=…

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Q: If a function h satisfies h(-x) = h(x) for every number x in its domain, then h is called an even…

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Q: 9. If (x-1)/(x) 3x²45x-2 X x²+2x 2x²-x-1 x² g(x) 6x²+x-1 find a relationship between f(x) and g(x).…

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Q: Suppose f and g are positive functions. Is the following true or false? Vf,g:N → R f(x) E O(g(x)) =…

A: Big-Θ notation: A function g(n) is in Θ(f(n)) if there exist constants c1, c2, and N such that…

Q: Suppose f: R → R is a function such that for all x, y ≤ R, f(x + y) = f(x) + f(y) and f(xy) =…

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Q: Show that if ƒ (z) = C where C is a constant, then f (s) = C/s for 8 > 0.

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Q: If f(x) = 2 + 2, g(x) = a 9 and h(a) = VT, then %3D f(g(h(x)))= (no need to simplify)

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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: If f(x) = a+5, g(x) = x – 9 and h(x) = VT, then %3D f(g(h(x))) = | %3D

A: It is composite function

Q: After being closed for approximately 18 months due to a pandemic, Disneyland re-opened to California…

A: Given that                                         N(t)=∫0tE(t)-L(t)dt where E(t) is rate at which…

Q: 5. Find the inverse of f(x) = Vx+2.

A: f(x)=x+23To find: The inverse

Q: 7. Find the inverse of f(x) =D5x + 10.

A: y=f(x) iimplise x=f^(-1) (y) given function Find value of x  then replace y  in x

Q: If y = e-3x, then y =

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Q: d. Compute E(X) and Var(X).

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Q: 5. Find the inverse of f(a) = x +2; x > 0. O A. f-1(x) = Va? + 2 O B. f-(x) = Va - 2; x 2 2 O C.…

A: Inverse function.