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 .

Q: Based on the regression output, if a printer can print 4.8 pages per minute and copies in color,…

A: It is given that The reqression equation is Price = 238.3 + 26.8 Speed + 57.7 Color

Q: Y1 0 zero elsewhere. Find E(Y1)

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Q: Prove that the variance of X ∼ Expo(λ) is 1/λ^2 by doing the calculation. You canuse the result E(X)…

A: To prove that the variance of an exponentially distributed random variable ( X ) with rate parameter…

Q: I see that you ran a correlation for Pearson's r, can you run a linear regression?

A: The table below shows the values required to calculate the correlation coefficient. x y x-x¯…

Q: Suppose X = 1/(1+Y), where 12 Y ~ fy(y) = y > 0, %3D 0, Identify the distribution of X by name and…

A: It is an important part of statistics . It is widely used .

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: Let the joint pdf for the continuous random variables X and Y be: f(x,y) = { 6x2 ; 0 0.8 | X =…

A: (i) To find P(X=0.6, Y=0.6), you need to calculate the probability that both X and Y equal 0.6.…

Q: The joint PDF of the random variables X and Y is defined as f(x, y) = 25e: 00 = 0, otherwise (i)…

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Q: Let xyz be the random quantities of three standard normal distributions, corr(X,Y) = 0.3, corr(X,Z)…

A: Given information: It is given that X, Y, Z are random quantities of three standard normal…

Q: a JPDF f(x,y) = 8/81 xy for 0<x<3 and 0<y<x. Let V(X) = 5.76 and V(Y) = 2.56 Find the correlation…

A: Solution:f(x,y) = 818​  where, 0 &lt; y &lt; x  &amp; 0 &lt; x &lt; 3 So,E[xy] =…

Q: For an exponential random variable (X) having θ = 4 and pdf given by: f(x) = (1/θ)e^(−x/θ ) where x…

A: We want to find the mean and variance and P(X&gt;3)= ?

Q: A regression was run to determine if there is a relationship between hours of TV watch humber of…

A: Given data,   y=ax+b a=-0.759 b=37.685 r2 =0.674041 r=-0.821

Q: 7. Let X be a continuous random variable with pdf f(x)=√ 0<x< 9. (a) Find c. (b) Find the mean and…

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Q: 3. Let X, Y be two random variables. Suppose X ~ Unif(0, 1)), and Y|X = 1 ~ Unif((0, e-)). (a) Give…

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

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