Let X be a discrete random variable with probability distribution:f(x)11/622/6a) Calculate the cumulative distribution of f.b) Find P(X <3).c) Find E(X) and ox.32/641/6

Given that Probability mass function of X is x 1 2 3 4 f(x) 1/6 2/6 2/6 1/6

Answered: f(x) 1/6 2/6 a) Calculate the…

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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(c) Let X follow the gamma distribution with pdf S(z) = r(a) on z> 0. If a =1 and V(X)=4 find the value of b, and hence find E(X).
Prove that d-function is the distribution derivative of the Heaviside function { if x > 0, if x < 0. H(x) =
x > 1 A RV X has the PDF fx(x) = otherwise (a) Find the MGF Mx(t) of X and clearly define the values of t for which it exists. (b) Find the mean (µ) and variance (o?) of the RV X using the MGF from (a).
Q. 2 Given fr(x) =kx’e ?; x20 (a) Find constant k so that it is a pdf; [Hint: Think about gamma distribution] (b) Does X have a x-distribution? If so, what is its degree of freedom? (c) Find E(X) and Var(X).
cumulative distribution function for heights (in meters) of trees in a forest is F(x). (a) Explain in terms of trees the meaning of the statement F (7) = 0.5. F (7) = 0.5 tells us that i (b) Which is greater, F (7) or F (6)? Justify your answer in terms of trees. because every tree of height eTextbook and Media % of the trees in the forest have Same for stor meters also has height mete
the sales revenue of a new mobile phone model is found to follow an AR(1) process, as shown below. what is the 3-lag AČF value? Xt =0.7*xt-1+Wt 0.700 .0.343 0.490 0.240
The Lorenz curve of income distribution in a small mountain nation is f(x)=0.5x¹ +0.3x³ +0.2x The Gini coefficient (index) of inequality for this nation is . . . O...y=0.562 O...y=0.513 O...y=0.37 O...y=0.45

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f(x) 1/6 2/6 a) Calculate the cumulative distribution of f. b) Find P(X<3). c) Find E(X) and ox. 2/6 1/6