Consider the random variables with X and Y with joint density function given by f(x,y) = {ky when 0 < y < 2x s 4 else e. Draw a picture of the domain where f (x, y) # 0. Solve for k so that f (x, y) is a density function. g. Find the probability that X is less than 1. h. Find P(X > Y) f.

Consider the random variables with X and Y with joint density function given by f(x,y) = {ky when 0 < y < 2x s 4 else e. Draw a picture of the domain where f (x, y) # 0. Solve for k so that f (x, y) is a density function. g. Find the probability that X is less than 1. h. Find P(X > Y) f.

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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Question

Please answer parts f, g, and h-- not part e.

Consider the random variables with X and Y with joint density function given by
sky when 0 <y < 2x < 4
f(x,y) =
else
Draw a picture of the domain where f (x, y) # 0.
Solve for k so that f (x, y) is a density function.
g. Find the probability that X is less than 1.
h. Find P(X >Y)
f.

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