3.7.23. Suppose that X and Y are discrete random vari-ables with4!y4-x-yPx.x (x, y) = x!y! (4 + x - y)! (2) O.)'()'(3-0≤x+y≤4Find px (x) and py(x).

Given: PX=x,Y=y=4!x!y!4-x-y!12x13y164-x-y 0≤x+y≤4

Answered: 3.7.23. Suppose that X and Y are…

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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IV) When a current X amperes flows through a resistance Y ohms, the power generated is given by w=x²y watts. Suppose the current and resistance are independent random variables with densities b = f(x)=6x (1-x), 0≤x≤1 X If the CDF of Wis Fw (w) = wª +6w - 8w 3/2, b ≤w ≤c, where a, b and care constants then a = C= fy(y)=2y, 0≤x≤1
6
20. Let X1, X2, ables, and set X, be independent, Exp(a)-distributed random vari- Y1 = X(1) and Y = X(k) – X(k-1); for 2
Suppose that one variable, xx, is chosen randomly and uniformly from [0, 1], and another variable, yy, is also chosen randomly and uniformly from [0, 2]. What is the probability that x≤y≤2x+1x≤y≤2x+1?The probability for x≤y≤2x+1x≤y≤2x+1 is?
4. A particle moves on the x- axis starting at x = 0. With equal probability, the particle moves to the left or right one unit. Let X denote the position on the x- axis after four moves. (a) Find px(x). Notice that X can take on -4,-2,0, 2, 4. Fill out the table below. xPx(x) (b) What is the expected position of the particle after four moves. That is, compute E(X). Express your answer as a fraction in lowest terms.
1. Given that X~N(39,32)A Random variable X is normally distributed and has a mean of 9 C Random variable X is not normally distributed and the mean is 39 B Random variable X is normally distributed and has a mean of 3 D Random variable X is normally distributed and the mean is 39
17. If X is uniformly distributed continuous random variable over [1, 3], then * 4/3 S14 2/3 -19
4. The distribution function of a random variable W is given by: Oforw 2 a. Find P (1 < w< 3). Enter probability as a reduced fraction. prob = %3D b. Find f(w). Enter coefficients as reduced fractions and express powers with ^. f(w) 3= for -2< w < 2 %3D
5.4. Suppose that X assumes the values m-a, m, m+a with probabilities p.1- 2p,p, and show that there is equality in (5.32). Thus Chebyshev's inequalit cannot be improved without special assumptions on X.

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3.7.23. Suppose that X and Y are discrete random va ables with 4-x-y PX,Y (x, y) = *(4-x-)!()*()'()* x!y!(4- x - y)! 2 3 0≤x+y≤4 Find px (x) and py(x).

3.7.23. Suppose that X and Y are discrete random va ables with 4-x-y PX,Y (x, y) = (4-x-)!()()'()* x!y!(4- x - y)! 2 3 0≤x+y≤4 Find px (x) and py(x).