Could someone please solve this problem? Please write clearly. Thank you. I will give a good review.
Could someone please solve this problem? Please write clearly. Thank you. I will give a good...
Suppose X, Y are independent with X ∼ N (0, 1) and Y ∼ N (0, 1). Show that the distribution of Q = X/Y follows the Cauchy distribution, i.e., f(q) = 1/π(1+q2) . Hint: Let Q = X/Y and V=Y. Find the joint pdf of Q and V and finally find the marginal pdf of Q by integrating the joint pdf of Q and V w.r.t. V: Y π(1+q2) Y V = Y . Find the joint pdf of...
i.i.d is independent, identical distributed. Please solve this problem and write clearly. I will give a good review for sure. Thanks!
Please slove this problem with full details solutions Clear and correct Hand writing solutions will receive an thankful thumb up? Thank you very much! The random variables X and Y have joint pdf X,Y (z, y) = ke-2(-2-2xy+5y2 (a) ul k (b) Show that X~N (0,5/4) and Y~N (0,1); (c) Find corr (X,Y). Are X and Y independent? (d) What is the conditional distribution of Y, given that X 0?
Answer all parts please. Question 3: Suppose that X and Y are i.i.d. N(0,1) r.v.'s (a) (5 marks). Find the joint pdf for U Х+Ү andV — X+2Y. (b) (3 marks). The joint pdf of U and V is for what particular distribution? (Hint: See p.81 of the textbook.) (c) (2 marks). Are U and V independent? Why?
Please show all work, steps, calculations, and formulas. Please write and explain everything clearly. Thank you so much! 5.3.3 For 0,,... and 0 S k 100, the joint PMF of random variables N and K is Pv,K (n, k) 100 e-100 001p) (a)Fo 100-k n! Otherwise, Pv.K(n, k)0. Find the marginal PMFs Pv(n) and PK(k)
Hello, can you please solve this problem? Thank you! 3.7 Find the mean and variance of the random variable x for the following cases: (a) x is a uniformly distributed random variable, whose pdf is 2 (P3.3) otherwise Also consider the special case when a =-b. (b) x is a Rayleigh distributed random variable, whose pdf is 'x > 0 (P3.4) 0 otherwise (c) x is a Laplacian distributed random variable, whose pdf is (P3.5) 2 (d) y is a...
Can someone please help me with this problem? Thank you in advance! 3. (10 points) Let X1, X2, ... be a sequence of random variables with common uniform distribution on (0,1). Also, let Zn = (11=1 X;)/n be the geometric mean of X1, X2, ..., Xn, n=1,2,.... Show that In , where c is some constant. Find c.
So here is the problem and solution. i would like to understand how to solve the problem. Would someone please be able to link me to some specific notes/resources/videos on solving/understanding the material thank you so much in advance! P1. (5 pts) Y, and Y, are independent N(0,1) random variables. Let Z1 = Y, + Y , Z = Y- Y, and 23 = Y. Find Cov(2) where Z' = (21,22,23). Show your work. Solution. Note that £y = Cov...
Please Write clearly Thank you x(t) ht) 2 2 2.12 Functions x(t) and h(t) have the waveforms shown in Fig. P2.12. Determine and plot y(t) = x(t) *h(t) using the following methods. (a) Integrating the convolution analytically. (b) Integrating the convolution graphically. h 0 0 t(s) t(s) 0 + 1 0 2 Figure P2.12: Waveforms for Problem 2.12.
Need help solving this problem. I don't know how to solve it. Please help as soon as you can so I can figure it out fast. Thank you! EX 3; oa x se oz gul 4 Otherwise X (1+3yn f (x, y) = find Marginal PDF Sf), fy Cy), fx/y(x/y) 2. Find Probability P ( 7 < x ₂ / 4 = 1 1.