If the moment-generating function of X is a. M(t)=(1–21)"", 1 < ½, Find the p.d.f of X hence use it to calculate i. Е(X), ii. Var(X).

Q: 9.) Consider the function f (x) = x? – 2x – 1 for x € [2,4]. Use n = 10 to compute accurate to 10…

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Q: H(t) models the rate of hoverboard sales, in hoverboards per day, from an electronics store during…

A: H(t) is the rate of hoverboard sales, in hoverboards per day. To get the exact number of sales over…

Q: – 8t² + 11)*. + 11)*. Find the derivative of f (t) = (9t³

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Q: f(t) = u(t)+ (sint- 1) u(t- -))-(sint + 1). 미t +u(t – 27) %3D

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Q: Consider the function f(t, p) 3 (pе' +1—р)". a. Find an expression for f(t, p) and evaluate that…

A: Given that:f(t, p)=(pet+1-p)n

Q: For time 0 ≤ ≤ 10, a particle moves along the x-axis with position given by x(t) = t³-77² +8t+5 What…

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Q: Show that (A − B )T = AT − B T .

A: Given  (A − B )T = AT − B T

Q: Suppose that the p.d.f. of X is as given f(x) = 3(1-x)2 for 0<x<1 and 0 otherwise Find the pdf of…

A: If Y=g(X) is the transformation then the PDF of Y is given by; fY(y)=fX(g-1(y))ddyg-1(y)

Q: If g(t)=t^2tan(t), then can the Intermediate Value Theorem be used on the interval [0, pi/4] to show…

A: If a continuous function in a domain has two domain end points and one point is above the required…

Q: 4) The population of frogs has been declining in North Dakota. At one lake, researchers found there…

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Q: Show that the function f(x) = K. when xw0 when xois discontinuous at x = 0.

A: Solution

Q: Recent studies seem to indicate the population of North America porcupine (Erethizon dorsatum)…

A: For the solution follow the next step.

Q: Let f(x) = (x" + 10x) e 6x-5, where n is an unspecified constant. Find the value of n such that the…

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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: Find the function r that satifies the following condition. r'(t)=(3t2,4t3,2t); r(1)=(-2,-5,-9)…

A: Given,          r't= 3t2 , 4t3 , 2t  , r1=-2,-5,-9

Q: Suppose a car’s value depreciates according to the model V(t)=24(4/5)t Find the exact value of r…

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Q: 2x Find F'(x) given F(x) = S t2dt. -2x

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Q: the guotient f(xth) f(a) where h is cortont.

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Q: Calculate L6 for f(x) = V9x + 3 over [1,3]. (Give your answer to three decimal places.)

A: Find the approximation L6 for the function fx=9x+3 over [1,3].

Q: Exl. suppose the pdf of r.v. X is [x/8, 0<x<4 fx(x)= {*/8, 0<r<4 . Find the pdf of Y =-2X +8. 0,…

A: Y= - 2X + 8, we have dydx= - 2⇔ dx =-dy2and 0&lt;x&lt;4 ⇔ -8&lt;-2x&lt;0 ⇔0&lt;-2x+8&lt;8⇔…

Q: Determine whether the following functions are even, odd or neither. (a) f(t)=r² +cost 3t (b) f(t) =…

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Q: h(x) = In (a- 7) (r +3)

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Q: 3. Consider the function f(x) = e¯*. 4x2 – 2 (a) Show that the second derivative is f"(x) (b) Find…

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Q: If g(t) = 3t° – 6t, find all t for which g'(t) = 0. - ||

A: Given : Function gt = 3t3 - 6t2   To find : all t for which g't = 0

Q: Let Q be a continuous random variable with PDF ( 6q(1 – q) if 0 < q < 1 fq(4) = otherwise This Q…

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Q: Find F(s). F(s) = {t(et + est23

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