C,D Consider & mixture ofTJ aussianthe follows!twoasO.2P ( X₁₁ X ₂ ) = 0₂3 N ([ ²4 ] [ ²¹ ²])+ 0.7N ( [0], [05/50.5 0.50.01What is the marginal distributionof X,6 what is the marginalolistribution of x ₂²©Compute E(X₁) and E (x₂)4) Compute X (x₁) and V (X₂)the variences of X, and X₂.

0.3 and 0.7 are the mixing weights, representing the proportion of the population belonging to each…

Answered: Consoler & mixture of two as follows!…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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iid *1. Let Y1,..., Yn * uniform(0, 1). Find the distribution of their geometric mean: U = i=1 (Hint: consider first finding the distribution of –n log U.) - N (µ, o2). Find the distribution of Y and show that P(Y s e") = 0.5 (i.e., e" is *2. Let log Y the median of Y).
Ex1: Suppose that f(x)=e* for x>0 Determine the following: a/P(X=1),P(X = 2 or X = 3) b/ P(X > 2), P(1 ≤ x ≤ In 5) c/ Mean and variance of X d/ The cumulative function F(x)
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1.8.19 Find f"(x). T0) = (x² - 1) * %3D f'"(x) =
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Consider a mixture of two Gaussian distributions, 0.AN([12]. [i])+0.GN([8]. Compute the marginal distributions for each dimension. Compute the marginal distributions for each dimension. • Compute the mean and mode for the two-dimensional distribu- tion. [8.4 2 2 1.7
(5)Find x if. i. e* = 3, ii. Inx %3D iv. 32-x = 27, v. 8x+1 32. %3D
Let N(t) be the percentage of a state population infected with a flu virus on week t of an epidemic. What percentage is likely to be infected in week 4 if N(3) = 8 and N'(3) = 1.2?
y 2 4 1 ГО.1 0.157 P(X, Y) = x3 0.2 0.3 %3D 5 Lo.1 0.15] a) Evaluate the marginal distribution of X and Y. b) Find P(Y/X) and P(X/Y). c) Find P(Y=2/X=3).
5.1-3
5

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