Q. 3 Let X and Y be two discrete random variables with following probability distribution Y 1 3 4 4 0.08 0.11 0.09 0.03 0.04 K 0.21 0.05 0.09 0.06 0.08 0.04 (i) Obtain K so that it is the joint probability mass function; (ii) Find cumulative distribution function Fx.y (x,y); (iii) Find the following probabilities (a) P(X < 2, Y < 3), (b) P(XY > 18), (c) P(X +Y > 7), (e) P(X +Y < 8), (f) P(XY < 14), (iv) Graph pdf and cdf.
Q. 3 Let X and Y be two discrete random variables with following probability distribution Y 1 3 4 4 0.08 0.11 0.09 0.03 0.04 K 0.21 0.05 0.09 0.06 0.08 0.04 (i) Obtain K so that it is the joint probability mass function; (ii) Find cumulative distribution function Fx.y (x,y); (iii) Find the following probabilities (a) P(X < 2, Y < 3), (b) P(XY > 18), (c) P(X +Y > 7), (e) P(X +Y < 8), (f) P(XY < 14), (iv) Graph pdf and cdf.
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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