The pdf of random variable X is given as f(x) Find the i) Mean ii) Mean of the square = [0.3507√x 0

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A: Given information: Given that the random variable X follows a gamma distribution with a mean of 384…

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A: Answer is explained below

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A: Given that Let X denotes the random variable having mean =3 and standard deviation =1 Then we have…

Q: The PDF of random variable x is given as, [0.3507 Vx, 0<x<3 1,(x) = 0, otherwise Find the, (1) (ii)…

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Q: The mean and standard deviation of a random variable are 11 and 1 respectively. Find the mean and…

A: given data μx = 11σx = 1we have to find mean and standard deviation for given variable y,v and w.

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A: Given data p(x&gt;9.5)=0.0039   and p(x&lt;-8.5)=0.0336

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A: From given : Mean of the population = 1830 Sample variance = 510 Sample size = 530

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A: a) If X and Y are uncorrelated then Cov(X,Y)=0, given V(X)=V(Y)=25 Answer(a): 50

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A: The objective is to find mean and variance

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A: (i) fx=dFxdx                                  for 1&lt;x≤3=dcx-14dx=cdx-14dx=4cx-14-1=4cx-13…

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A: X-2-1012f(x)

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Q: f(x) = ,2 <x < 5 %3D 39 ,otherwise k to see additional instructions the random variable whose pdf…

A: V[X] = E[X2]- (E[X])2 ----- Formula ________________________________________

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Q: Y x+3 v=2r w = 2x +3 =

A: Given that.   X~N( μ , ?)   μ=E(x)=4    , ?2=Var(x) =1

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A: Given: A discrete random variable X satisfies the following:     P(X=1)=0.1P(X=-1)=0.6    P(X=2)=0.3

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Q: how that the variance of a geometric random variable X; is given by V ar(X) = q/p^2 .

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Q: a) What is the mean of 6W?  (b) Assume that X and Y are independent. What is the variance of 6W? (c)…

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Q: Let Y be a random variable with pdf f(y)= (1/18)(y^3−1) for 1 2.5). (b) Calculate the variance of Y…

A: Solution