f we consider the function f (x) = x2 (with x = position) as a probability density distribution defined at 0 ⩽ x ⩽ 3. Determine exactly the integral function F(x).

Q: Determine the value of c that makes the function f(x,y) = cxy for 0 <x < 4 and 0 <y < 4 satisfies…

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Q: Given the function y = x2 considered as a probability density distribution defined at 0 ⩽ x ⩽ 3,…

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A: We know,  For any given density function. ∫-∞∞fx dx =1 Therefore, ∫016x1-x dx = 1 Let  y…

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A: For finding median through probability density function we use: ∫0Mf(x).dx = 12 M: Median value

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Q: Find a value of k that will make f a probability density function on the indicated interval. ƒ(x) =…

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Q: If X is the space occupied by an equipment in a 1 cu. m. room. The probability density function is…

A: From the given information, fx=90x81-x, 0&lt;x&lt;1 Consider, the mean and standard deviation:…

Q: if x 2 1, Let {x2 0, if x < 1. Show that f is a probability density function and that the…

A: Topic:- probability density function  Note:- as per our guideline if more than one question uploaded…

Q: Let the continuous random variable X denote the current measured in a thin copper wire in…

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A: The probability density function is given as  f(x) = 4x0≤x≤124-4x12&lt;x≤10otherwise The cummulative…

Q: Find the mean and variance for the distribution of random variable X whose density function is f(x).…

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Q: Suppose a college professor never finishes her lecture before the end of the class period, and…

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Q: Let X be a continuous random variable where the density function is given by: (1x) 0 if-3<x<3…

A: Given information: fx=x9, -3&lt;x&lt;30 otherwise    =-x9, -3&lt;x&lt;0x9, 0&lt;x&lt;3Consider,

Q: Suppose that the joint probability density function of X and Y is fX,Y(x,y) = 10.125(x2 – y2) e−3x…

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Q: A random variable x has a density function f(x) = c(x+1) where 0 < x < 2| 2

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: If the random variable has the density function 2х, 0<x<1, f,(x) = { 0, Otherwise. and the…

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Q: For the probability density function 1 f(x) = x on [0, 2] Find : E(X) Var(X) o(X)

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Q: Sketch the graph of the probability density function over the indicated interval. f(x) [0, 8] 8(x +…

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Q: a) Suppose that, for-1 ≤ a ≤ 1, the probability density function of (X₁, X₂) is given by f(x₁, x₂) =…

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Q: Find a value of k that will make f a probability density function on the indicated interval. ƒ(x) =…

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Q: Let the continuous random variable X denote the current measured in a thin copper wire in…

A: From the given information, f(X)=0.12, 0≤X≤10.12 Formula for Variance: V(X)=EX2-E(X)2 Consider,…

Q: Find a value of k that will make f a probability density function on the indicated interval.ƒ(x) =…

A: The probability density function on the indicated interval is given by : fx=kx ; 1, 5 As we know…

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Q: Suppose that X and Y have a joint probability density function given by ce-3z-5y fxy(x, y) = if x, y…

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Q: A continuous variable Y has a probability density function given by p(y)=Ay^3 for 0≤y≤3 What is…

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Q: The PDF of a continuous random variable X is as follows: f(X)= c(4x2 - 2x2)       0<* x <* 2…

A: Given, The PDF of a continuous random variable X is as follows: f(X)= c(4x2 - 2x2)       0&lt;* x…

Q: b) Find the marginal probability density function of X, fy(x).

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Q: The life (in years) of a laptop battery has a probability density function defined by P(x)=12e−x/2…

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A: Given, The density function of X1 as: Conditional distribution of X2 given X1=x1 is:

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Q: Let X be a continuous random variable with pdf 1<x<5 fx(x) = {12 elsewhere Find the probability…

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Q: Find a value of k that will make f a probability density function on the indicated interval.ƒ(x) =…

A: Given probability density function is: ƒ(x) = kx2    ;    Interval ; [-1, 2]

Q: Suppose that X and Y have a joint probability density function given by fxx(1, y) = if 1, y 2 0…

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Q: Find the marginal density function fx, (x1) of X1.

A: We have to find the marginal probability density function of random variable X1.

Q: Find a value of k that will make fa probability density function on the indicated interval. f(x) =…

A: See the answer below

Q: then what is the marginal density function of X, where nonzero?

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Q: Suppose the life span of a laboratory animal is defined by a Rayleigh density function with a=0 and…

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Q: A continuous variable X has a probability density function given by p(x)=Ax^2 for 0≤x≤4, and p(x)=0…

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Q: Suppose the continuous random variable X has the pdf f(x) = {20x*(1 – x), 0 < x < 1 0.w. Find the…

A: A continuous random variable has two types of density functions. These are the probability density…

Q: Determine the value of c that makes the function f (x,y) = cxy for 0 < x < 4 and 0 < y < 4 satisfies…

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Q: Given the function y = x2 considered as a probability density distribution defined at 0 ⩽ x ⩽ 3.…

A: Solution

Q: A continuous random variable X that can assume any value between X = 2 and X =5 has a density…

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