7.If X is a continuous RV whose PDF is given by Find c.and mean of X. f(x) = (c(4x-2x²), 0

Q: if r >1 Suppose f(x) = Determine whether f'(1) exists. x? if r < 1.

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Q: The pdf of a continuous RV X is given by: f(x)=12xf(x)=12x ,„XE[1,e2]x=[1,e2]. 1. find P(x>10) 2.…

A: Given Data : Probability Density function of continuous random variable X is given by :…

Q: 3. Let X be the amount of an insurance claim which has following pdf: Kx? (4 -x), 0 <x < 2 (x) %3D…

A: f(x)=Kx2(4-x) ,      0&lt;x&lt;20,            otherwise

Q: Given f is a differentiable function such that f(4) = 2 and f'(4) = -3. If g(x) = 2x3 * f(x), find…

A: Given f is differentiable function such that f(4)=2,f'(4)=-3 and if g(x)=2x3f(x). To find g'(4).…

Q: 2) Find a value of c for which f (x) is a pdf on the f(x) = cx + x², [0. 1]

A: Introduction ∫-∞∞fxdx=1 The total area under the curve fx of pdf is 1.

Q: f'(z) = lim Δz-10 f(z + Δz) – f(z) Δz

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Q: Suppose f is differentiable and (-1,4) is a point on the graph of f. The estimate f(-0.8) 5 is…

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Q: 3. Let X be the amount of an insurance claim which has following pdf: Kx (2-x), 0<x <3 f(x) = 0,…

A: Given : The pdf of random variable x is : f(x)=Kx2(2-x),0,x&lt;30,elsewhere We want to find value of…

Q: If f(3) = 11, f' is continuous, and • f*F(x) f(4) = f'(x) dx = 15, what is the value of f(4)?

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Q: Given f(x) is a continuous function. If f( – 5) = 1 and f'(x) > 4 for – 5 <x < 2, what is the…

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Q: x+2a, if x<1 What value for a would makef (x)continuous everywhere? Let f(x)= (ax? +7x-4, if x21

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Q: Evaluate SIL. dydzdke, where E = {(x,y,z): (2+z12<x< 2, - (4 - z)2sy <(4 -2)12, 3<z 58}.

A: Given: The given integral is ∫∫∫Rdydzdx The given intervals are (y2+x2)12≤x≤2, -(4-z2)12≤y≤(4-z2)12,…

Q: 3. Let X be the amount of an insurance claim which has following pdf: Kx2(2-x), 0<x <3 0 <x f(x) =-…

A: It is given that, x be the amount of claim with pdf fx = Kx2 2-x,0&lt;x&lt;30,elsewhere

Q: Suppose that a continuous function g satisfies: g(x)dr = 30 and g(2x)dx = 3. 0. 2 Find r9(3x²)dx.

A: Suppose that a continuous function g satisfies: ∫03gxdx=30 and ∫06g2xdx=3. The, we have to find the…

Q: Two college students are studying for an exam. Student X is smarter than sudent Y. The grade that…

A: The joint pdf for X and Y are given as:

Q: If I have a continuous, smooth (no sharp points) function with 3 local maxima and 2 local minima,…

A: Since the function is continuous , with 3 local maxima and 2 local minima.the function will have 5…

Q: Q1/ find the derivative of the following function 5x? + 2x+3 f(x) =

A: Explanation of the solution is given below...

Q: Suppose that f(x) is a function with f(180) = 35 and f'(180) = 10. Estimate f(180.5). f(180.5)

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Q: Which of these formulas is appropriate for estimating f'(xx) for the given values of the function at…

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Q: If f has a derivative at x = 2, then f is continuous at x = = 2. True False

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Q: d Suppose that f(x) and g(x) are differentiable functions such that f(5) = 1, f'(5) = 7, g(5) = 2,…

A: The objective is to simplify the given differential equation.

Q: If f is a continuous function on [a, b], and if f (a) = -2 and ƒ (b) = 2, then there exists a real…

A: Hi, you can find the answer in the handwritten form.  Given f(a)=-2  f(b)= 2

Q: c) Suppose f(5) = 1, f (5) = 6, f'(-3) = 4, g(5) = -3, g'(5) = 2, and h(x) = f(g(x)) + f(x)g(x),…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…