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provided that tihe expettauIO 1.8.10. Let f(z) = 2r, 0 < z < i, zero elsewhere,...
provided that tihe expettauIO 1.8.10. Let f(z) = 2r, 0 < z < i, zero elsewhere, be the pdf of X. (a) Compute E(1/X). (b) Find the edf and the pdf of Y 1/X c) Compute E(Y) and compare this resul...
provided that tihe expettauIO 1.8.10. Let f(z) = 2r, 0 < z < i, zero elsewhere, be the pdf of X. (a) Compute E(1/X). (b) Find the edf and the pdf of Y 1/X c) Compute E(Y) and compare this result with the answer obtained in Part (a).
provided that tihe expettauIO 1.8.10. Let f(z) = 2r, 0
2. Let f(x,y) = e-r-u, 0 < x < oo, 0 < y < oo, zero...
2. Let f(x,y) = e-r-u, 0 < x < oo, 0 < y < oo, zero elsewhere, be the pdf of X and Y. Then if Z = X + Y, compute (a) P(Z 0). (b) P(Z 6) (c) P(Z 2) (d) What is the pdf of Z?
Let f(x,y) = cx( 1-y), 0 < x < 2y < 1, zero elsewhere. a) Find...
Let f(x,y) = cx( 1-y), 0 < x < 2y < 1, zero elsewhere. a) Find c. b) Are X and Y independent? Why or why not? c) Find PX +Y05)
o. Consider a random variable X with pdf given by fx(z) = 0 elsewhere. elsewhere. 0...
o. Consider a random variable X with pdf given by fx(z) = 0 elsewhere. elsewhere. 0 (a) What is c? Plot the pdf (b) Plot the edf of X. (c) Find P(X 0.5<0.3).
I don’t understand where I messed up on these Question 6, (20 pts.) Let f(z)-,-1 <...
I don’t understand where I messed up on these
Question 6, (20 pts.) Let f(z)-,-1 < pts.) Let f(z)-,-1 <ぴ2, zero elsewhere, be 2, zero a) Find the cdf of x. 3 Y b) Find the moment generating function of x 3-t y+니 c) Let Y 4-X2. Find the pdf of Y Find py = E(Y).
(b) Let X have the pdf x? f(x)= ;-3<x<3, 18 = zero elsewhere. (i) Find the...
(b) Let X have the pdf x? f(x)= ;-3<x<3, 18 = zero elsewhere. (i) Find the cdf of X
Let , or ,zero elsewhere,be the pdf of X. Find . Show your work! f(x) =...
Let
,
or
,zero elsewhere,be the pdf
of X. Find
. Show your work!
f(x) = 1 /2
10. Let Y1,..., Y, be a random sample from a distribution with pdf 0<y< elsewhere f(x)...
10. Let Y1,..., Y, be a random sample from a distribution with pdf 0<y< elsewhere f(x) = { $(0 –» a) Find E(Y). b) Find the method of moments estimator for 8. c) Let X be an estimator of 8. Is it an unbiased estimator? Find the mean square error of X. Show work
4. I. Let Yǐ < ½ < ⅓ < Ya be the order statistics of a...
4. I. Let Yǐ < ½ < ⅓ < Ya be the order statistics of a random sample of size n = 4 from a distribution with pdf f(x) 322, 0<< 1, zero elsewhere. (a) Find the joint pdf of Ys and Ya (b) Find the conditional pdf of Ys, given Y-y (c) Evaluate Evsl (d) Compute the probability that the smallest of the random sample exceeds the median of the distribution
5. (50pt) X and Y are continuous random variables with pdf f(x, y) 2r for 0...
5. (50pt) X and Y are continuous random variables with pdf f(x, y) 2r for 0 < x y < 1, and f(x,y) = 0 otherwise. Find the conditional expectation of Y given X = z.
provided that tihe expettauIO 1.8.10. Let f(z) = 2r, 0 < z < i, zero elsewhere, be the pdf of X. (a) Compute E(1/X). (b) Find the edf and the pdf of Y 1/X c) Compute E(Y) and compare this result with the answer obtained in Part (a).
provided that tihe expettauIO 1.8.10. Let f(z) = 2r, 0
2. Let f(x,y) = e-r-u, 0 < x < oo, 0 < y < oo, zero elsewhere, be the pdf of X and Y. Then if Z = X + Y, compute (a) P(Z 0). (b) P(Z 6) (c) P(Z 2) (d) What is the pdf of Z?
Let f(x,y) = cx( 1-y), 0 < x < 2y < 1, zero elsewhere. a) Find c. b) Are X and Y independent? Why or why not? c) Find PX +Y05)
o. Consider a random variable X with pdf given by fx(z) = 0 elsewhere. elsewhere. 0 (a) What is c? Plot the pdf (b) Plot the edf of X. (c) Find P(X 0.5<0.3).
I don’t understand where I messed up on these
Question 6, (20 pts.) Let f(z)-,-1 < pts.) Let f(z)-,-1 <ぴ2, zero elsewhere, be 2, zero a) Find the cdf of x. 3 Y b) Find the moment generating function of x 3-t y+니 c) Let Y 4-X2. Find the pdf of Y Find py = E(Y).
(b) Let X have the pdf x? f(x)= ;-3<x<3, 18 = zero elsewhere. (i) Find the cdf of X
Let
,
or
,zero elsewhere,be the pdf
of X. Find
. Show your work!
f(x) = 1 /2
10. Let Y1,..., Y, be a random sample from a distribution with pdf 0<y< elsewhere f(x) = { $(0 –» a) Find E(Y). b) Find the method of moments estimator for 8. c) Let X be an estimator of 8. Is it an unbiased estimator? Find the mean square error of X. Show work
4. I. Let Yǐ < ½ < ⅓ < Ya be the order statistics of a random sample of size n = 4 from a distribution with pdf f(x) 322, 0<< 1, zero elsewhere. (a) Find the joint pdf of Ys and Ya (b) Find the conditional pdf of Ys, given Y-y (c) Evaluate Evsl (d) Compute the probability that the smallest of the random sample exceeds the median of the distribution
5. (50pt) X and Y are continuous random variables with pdf f(x, y) 2r for 0 < x y < 1, and f(x,y) = 0 otherwise. Find the conditional expectation of Y given X = z.
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