Find the variance of the random variable Y where 3 )2,0y < 2 fr(u) 8

Q: axa-1 f(y|a, 0) 0 0,0 > 0. ga (a) Show that the expected value and variance of Y are a E(Y) = ( 0…

A: Y is a random variable having the following pdf- f(y)=αyα-1θα,0&lt;y&lt;θ, α&gt;0, θ&gt;00,otherwise

Q: The random variables X,Y have variance Var(X)=36 and Var(Y)=1 and their correlation is Cor(X,Y)=−34.…

A: Formula used Var ( X+Y) = Var(X)+Var(Y)+2Cov(X,Y)

Q: Find the mean of the random variable X with PDF S 3x² _if 0 <x < 1, f(x) = otherwise.

A: For the given random variable X, its pdf is

Q: 6. The pH water samples from a specific lake is a random variable X with probability density…

A: a) fx=387-x2, 5≤x≤7 EX=∫57xfxdx       =∫57x*387-x2dx      =38*443      =112

Q: Ppose A for the probability of success. Suppose the success probability Y is a random variable…

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Q: Suppose that X and Y are random variables where the conditional expected value of Y given X is given…

A: # random variable x and y such given  E(y/x)=3*X+6  E(x)=0 &amp; var(x)=9  Then to find minimum…

Q: Let x be a continuous random variable with PDF 3 x > 1 x4 fx (x) otherwise Find the mean and…

A: Given PDF is fX(x) = 3x4,x ≥ 10,otherwise

Q: 2 Show that variance o? (x²) – ((x))²

A: Variance is a measure of dispersion.

Q: Find the mean and variance for the probability distribution given by f(x)= 2x k(k+1)* -,x=1,2,3,...k

A:

Q: 5.5.4. Let Y1, Y2, ..., Yn be a random sample from the uniform pdf fy(y; 0) = 1/0, 0 ≤ y ≤ 0.…

A: Step 1: Step 2: Step 3: Step 4:

Q: Let Y, represent the ith normal population with unknown mean 4, and unknown variance of for i=1,2.…

A: As per guidelines of Bartleby, we have given solution of only first 3 parts

Q: Let X ~ N(0,1), the standard Normal distribution. (a) Determine the 3rd moment of X. (b) Determine…

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Q: Compute the correlation between the random variables Y1 and Y5 = 1+ X1 + X2.

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

A:

Q: In the 2012 presidential election, exit polls from the critical state of Ohio provided the following…

A: As per our guidelines, we are allowed to answer first question only. Thanks   Given Data :

Q: Let X and Y are two random variables with p.d.f as F(x,y) = 3x^2y+3xy^2,0 < x< 1,0 < y < 1. (i) Find…

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

Q: What is E(T) where is a Trandom variable with 17 degrees of freedom?

A: T random variable with 17 degree of freedom.

Q: If a discrete random variable X has the following probability distribution: X -2, - 1, 0,…

A:

Q: Z is the present-value random variable for a whole life insurance of b payable at the moment of…

A: Given that Z is the present-value random variable for a whole life insurance of b payable at the…

Q: Q4 Three electron emitters produce electron beams with changing kinetic energies that are uniformly…

A: It is known that for uniform distribution, mean and variance are: Mean=a+b2Variance=12(b-a)2…

Q: True or False: For an exponentially distributed random variable, x, P(x) = 1/(b - a).

A: It is given that the statement about to the exponential distribution. Here, need to find out the…