just promblem f 5.1.2 (WP Show that the following function satisfies the proper-ties of a joint probability mass function.yfxy(x, y)-1.0-21/8-0.5-11/40.511/21.021/8Determine the following:а. Р(X < 0.5, Y < 1.5)с. Р(Ү < 1.5)е. Е(X), Е(Y), V(X), V(Y)f. Marginal probability distribution of Xb. P(X < 0.5)d. P(X > 0.25, Y < 4.5)

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Answered: 5.1.2 WP Show that the following…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.CR: Chapter 13 Review

Problem 4CR

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Q. 1 (i) Find moment generating functions (mgf) of the following probability distributions. (ii) Using mgf found in (i) above, find mean and variance. (i) fx(x;n,p) = {x)p*q"=*;_x= 0,1,2,-, n, 0; е. w. (e-^ax. x = 0,1,2,, (ii) fx(x; 2) = 0; x! е. W. 1 ( ii) fx (x; α, β) : r(a)ga x“-te¬x/B; 0 < x <∞ (iv) fx(x; ß) = e-x/B;0 < x< ∞ 1 (x-µ)²] (v) fx(x; µ, o) = To VER exp[- ;-00 < x< ∞ 2σ2 1 ( vi) fK (x; α, β) B(a,f) *"-(1 – x)*-1; 0 < x < 1 %3D Г(а)Г(В) where B(a,ß) = r(a+B) (vii) F<(x, a, f) = x«-lexp[-;)"]:0
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