Determine the conditional probability distribution of Y given that X = 1. Where the joint probability density function is given by f(x,y) =xy for 0 < x < 4 and 0

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Q: Let X and Y has joint probability density function f(X, Y) = 81 - , 0 <x< 3, 0 <y< 3. Find E(X).

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

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A: We have a continuous random variable X with probability density function is, f(x) = 0.02 ,…

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Q: Let the random variable X have the density function f(x)= (kx,0 ≤ x ≤ √2/k lo, elswhere

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Q: Determine the conditional probability distribution of Y given that X =1. Where the joint probability…

A: First we have to calculate the marginal density of X f(x).

Q: Consider a continuous random variable X with the probability density function (pdf) x 0< x≤2 fx(x) =…

A: a) The value of c is obtained below: ∫02fxdx=1∫02cxx2+1dx=1c*12lnx2+102=1c*12ln5=1            c=2ln5

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Q: Let the joint probability density function of the continuous random variables X and Y be f(x,y) = }5…

A: The probability density function is fx, y=65x2+2xy,    if 0≤x≤1, 0≤y≤10,…

Q: Determine the conditional probability distribution of Y given that X = 1. Where the joint…

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

A: From the definition: The function f is a probability density function of a random variable x in the…

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

A: Here X denotes current measured in copper wire in milliamperes. X ranges from 0 to 1/0.14. and  f(x)…

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

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…

Q: b) Find the marginal probability density function of Y, fy (y).

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

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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: Definition used-      The function f(x) is a probability density function, if-     i)  f(x)≥0 for…

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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: Consider the function: fx=kx12, x∈1, 4   and, for all other values of x, fx=0.   Thus, fx=0,x∈-∞,…

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A: The given function is: f(x) = kx2 In the interval is  0 ≤ x ≤ 2 or x∈0, 2

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Q: Let X and Y have the joint probability density function given by (1. Osxs2, 0sysl, 2y Sx 10. Ow.…

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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: ƒ(x) = kx3; [2, 4] A probability density function equals 1 for sum of all range of values.

Q: Determine the conditional probability distribution of Y given that X =1. Where the joint probability…

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Q: Q3 If the joint probability density function of X and Y is given by 0 < x < ∞, 0 < y< o∞ f(x, y) =…

A: Ans . Here for calculation of E [ X/Y=y ]  ,  we first calculate marginal distribution of  Y  then…

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Q: Let X be a random variable with probability density function L{(1 }(1– æ), -1 < x < 0 f(x) = 0,…

A: Given : f(x) = 23(1-x) , -1≤x&lt;0

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Q: Determine the conditional probability distribution of Y given that X = 1. Where the joint…

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