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Let (X, Y ) be a random point in the unit square, [0, 1] × [0, 1], with the uniform probability. That is, X is a random number between 0 and 1, and Y is a random number between 0 and 1. Your overall task in this problem is to compute P (X < (3/4) given Y < (1/2)X).  give answers in fraction please so I can understand what you calculated.

Let (X, Y ) be a random point in the unit square, [0, 1] × [0, 1], with the uniform probability. That is, X is a random number between 0 and 1, and Y is a random number between 0 and 1. Your overall task in this problem is to compute P (X < (3/4) given Y < (1/2)X).  give answers in fraction please so I can understand what you calculated.

MATLAB: An Introduction with Applications
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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Let (X, Y ) be a random point in the unit square, [0, 1] × [0, 1], with the uniform
probability. That is, X is a random number between 0 and 1, and Y is a random
number between 0 and 1.
Your overall task in this problem is to compute P (X < (3/4) given Y < (1/2)X). 

give answers in fraction please so I can understand what you calculated.

(d) Draw the graph of the vertical line X = (3/4) in the sample space. Label the points where this line intersects the sides of the unit square, and the point where this line intersects the line Y = (1/2)X (e) Sketch the region where X < (3/4) and Y < (1/2)X. Use shading or coloring. (f) Compute P(X < (3/4) and Y < (1/2)X) by finding the area of the triangular region from part (e) and dividing by the area of the sample space.
Transcribed Image Text:(d) Draw the graph of the vertical line X = (3/4) in the sample space. Label the points where this line intersects the sides of the unit square, and the point where this line intersects the line Y = (1/2)X (e) Sketch the region where X < (3/4) and Y < (1/2)X. Use shading or coloring. (f) Compute P(X < (3/4) and Y < (1/2)X) by finding the area of the triangular region from part (e) and dividing by the area of the sample space.
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