(a) Let X~ x2. Calculate using chi Squared distribution E(√X) (b) For a = 0.05 and n = 20, show that by using the result of (a). E(W) E (W{₁}) <1

Q: Part 1 1. If f(0) = g(0) = 0 and f" and g" are continuous, show that ff f(x)g"(x)dx= f(a)g'(a) — ƒ…

A: I have given the answer in the next step. Hope you understand that

Q: P(z > c) = 0.6126

A: Let z be the standard normal variable with mean μ=0 and standard deviation σ=1 The value of c is,

Q: 10 Evaluate , 11 f(x)dx given that f(x)dx = 4 and Sa f(x) dx = -2. -3 10

A:

Q: Use the following table of values to answer (a) and (b) a)  Let h(x) = f (g(x)) . Find h'(2) .…

A:

Q: 12 If [" f(x) dx = 19 and ' [₁ f(x) dx [R²F(x) f(x) dx = 4, find the following.

A: We can answer the question as below using the properties of definite integral.

Q: The accounting team at a manufacturing business developed a model for the company's profit over its…

A: The accounting team at a manufacturing business developed a model for the company's profit over its…

Q: LetP(B) = 0.6, P(K|B) = 0.2, P(K|B') = 0.35. FIND THE VALUE OF P(K)

A: P(B)=0.6P(K|B)=0.2P(K|B')=0.35

Q: Find Give a specific function for F(x). F(x) = = [ x(x² + 6)³ dx F(x) =

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Q: The function f(x) = Ei-1 Cix;| is piecewise linear and convex. True O False

A: Step:- 1 Convex piece-wise Linear: - A function f: ℝn→ℝis a convex piece-wise linear if there exist…

Q: 0.5 0.6 0.7 f(x) 0.493 0.712 0.933 f'(x)

A: Given: x 0.5 0.6 0.7 f(x) 0.493 0.712 0.933 To compute: f'(x) using forward, central and…

Q: 7. Let f(x)=64x² ln (2x) −16x¹. Findƒ(e)-f(€) 2

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

Q: 1 3. Let f (x) = 4x +- х Find f'(x) S f(x)dx а. b. Find

A: Here given as fx=4x+1x Differentiate as f'x=ddx4x+1x=ddx4x+ddxx-1=4-x-2=4-1x2

Q: Find F(s). F(s) = L{t(et + est 23

A: Solution is uploaded below.

Q: Suppose the E(X) = 2.5 and Var(X) = 1. If the variable Y is related to X by: Y = 2x - 2, find the…

A: We foil the expected value to obtain  E[(2X−2)2]=E[4X2-8X+4]=4E[X2]−8E[X]+4 We know the mean is 2.5…

Q: 49 |'xf(x?) dx. If f is continuous and f(x) dx = 16, find

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Q: Use a plot of f(x) = x* to estimate the value c such that f'(c) = 0. Find c to sufficient accuracy…

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Q: 9a) Find the local extrema of the function f(x) = e*(x² -3) using the Second Derivative Test.

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Q: Given f (3) = 5, f'(3) = 1.1, g(3) = –4 and g'(3) = 0.7, find 2(3). -0.49375 -0.025 1.975 0.49375…

A: We will use the quotient rule of differentiation to evaluate the required functional value