Answered: If the joint probability is given by:…

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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Using 2 independent DRVS X and Y with probability distribution px(x) and py (y) below, find E(Z) where Z = X + Y X 1 2 3 4 Px(x) 1/8 3/16 3/8 3/16 1/8 Y 3 4 5 Py(y) 1/4 1/4 1/4 1/4
If the joint probability is given by: f(x.Y) = (3x + 2y)/40, for x = 0, 1, 2, 3; y = 0, 1, 2, 3 %3D Find P(X + Y = 4): * Your answer This is a required question Find P(X>Y ): * Your answer Is the equation valid? * Yes O No Find P(X > 2, Y s 1): * Your answer Find P(Xs 2, Y = 1): * Your answer
If the odds against R occurring are 1:7, then find P(R) and P(R'). P(R)= (Simplify your answer.) P(R')= (Simplify your answer.)
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
2. The distribution of a random number X is Uni(0, 1). Find the probability that (a) the first decimal of √X is equal to 3. (b) the first decimal of X² is equal to 3.
25. The random variables X and Y have the joint probability function f(x, y) = K(4-x-y); 0
İf X follows the Poisson probability law such that P (xr 1) = P (x = 2). then ind the probability of 4 successes.
If X and Y are independent RVs, each following N (0, 3), what is the probability that the point (X, Y) lies between the lines 3X + 4Y = 5 and 3X + 4Y = 10?
Q3: Suppose the joint probability function of X and Y is given by x= 5, y = 0 7 x= 5, y = 3 7 x = 5, y = 4 P (x,y)- *= 8, y = 0 7 x= 8, y = 4 else Compute E(X|Y-0), E(X|Y 4), E(X|Y=3)
Part C Help needed
If λ = 6 per hour and μ = 6 per hour in an (M/M/1): (5/FIFO) model, find the probability that there is no customer in the system.
If the joint probability distribution of X and Yis given by: (picture)Find P(X ≤ 2, Y = 1)Find P(X + Y = 4)Find P(X>Y )Find P(X > 2, Y ≤ 1)

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If the joint probability is given by: f(x,y)=(x+y)/30 x=0,1,2,3; y=0,1,2 Find: (a) P(X ≤ 2, Y = 1); (b) P(X > 2, Y ≤ 1); (c) P(X>Y ); (d) P(X + Y = 4)