thanks for the help. not exactly how to even start this pictured problem
thanks.
thanks for the help. not exactly how to even start this pictured problem thanks. 6. Let...
=============
Probability statistics problems
Answer all questions to get UPVOTE
Thanks
Let X have a logistic distribution with pdf f(x) = (1 + e-x)2 < r< 0. (1+e-x)2 (a) Show that Y=tex 1+e-x has a U(0,1) distribution. (b) Explain how you can generate random samples of X using uniform random samples over (0,1).
Problem 4 Suppose U and V follow uniform [0, 1] independently. (1) Let X = min( UV). Let F(x) = P(X<2). Calculate F(2) and f(c). (2) Let Y = max(U,V). Let F(y) = P(Y = y). Calculate F(y) and f(y). (3) Let Z=U + V. Let F(z) = P(Z < z). Calculate F(2) and f(z).
Need help please the steps, thanks.
K=2
(i) Let 0 < x < 1; et f(x) x tk, 1<x<2, } the Fourier series at x = 1. مر and let f(x) be 2-periodic. Find the value of
6. Let f(x,y) = 1 if 0 < y < 2x, 0<x<1, and 0 otherwise. Find the following: a) f(y|x) b) E(Y|X = x) c) The correlation coefficient, p, between X and Y
Please do by hand. Thanks in advance.
5. Let X1 and X2 have joint pdf f(x1, x2) = 4xı, for 0 < x < x2 < l; and 0 otherwise. Find the pdf of Y = X/X2. (Hint: First find the joint pdf of Y and Y2 = X1.)
can someone help me solve both a and b?
Thanks.
Problem 4 Let S and T have the joint probability density function fs,T(8,t) = , 0<x<1, 52 <t<8 (a) Find marginal pdfs fs(s) and fr(t). (b) Find E(ST).
Question 1 1 pts Let F= (2,0, y) and let S be the oriented surface parameterized by G(u, v) = (u? – v, u, v2) for 0 <u < 12, -1 <u< 4. Calculate | [F. ds. (enter an integer) Question 2 1 pts Calculate (F.ds for the oriented surface F=(y,z,«), plane 6x – 7y+z=1,0 < x <1,0 Sysi, with an upward pointing normal. (enter an integer) Question 3 1 pts Calc F. ds for the oriented surface F =...
Problem 2: Let Y be the density function given by f(y) = 1.5, -1<y < 0, { 1-cy, 0 <y <1 10, elsewhere. (1) Find the value of c that makes f(y) a density function. (2) Find Fy). (3) Compute Pr(-0.5 <Y <0.5) (4) Graph f(y) and F(y) in the same rectangular coordinate system. (5) Find the expected value u = E[Y]. (6) Find the variance o2 = Var(Y) and the standard deviation o of Y.
PROB5
Let U and V be independent r.v's such that the p.d.f of U is fu(u) = { 2 OSU< 27, otherwise. and the p.d.f'of2 is Seu, v>0, fv (v otherwise. Let X = V2V cos U and Y = 2V sin U. Show that X and Y are independent standard normal variables N(0,1).
Problem #6: Let 58 0 < t <a f(0) = -8 x<I< 27 and assume that when f(t) is extended to the negative t-axis in a periodic manner, the resulting function is even Consider the following differential equation. 3 d2x de 2 + 7x = $(1) Find a particular solution of the above differential equation of the form 00 00 Xp(1) git,n) P and enter the function g(t, ) into the answer box below.