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7. Suppose a point is selected uniformly at random inside a right-angle triangle with base 5 and height 2. Let X be the distance from the base of the triangle to this point. (a) Find the cdf and pdf of X. (b) Calculate E(X). (c) Generalize your result above to a right angle triangle with base b and height h. Hint: Draw the triangle and any point (x, y) inside it, then shade the area where the event X

7. Suppose a point is selected uniformly at random inside a right-angle triangle with base 5 and height 2. Let X be the distance from the base of the triangle to this point. (a) Find the cdf and pdf of X. (b) Calculate E(X). (c) Generalize your result above to a right angle triangle with base b and height h. Hint: Draw the triangle and any point (x, y) inside it, then shade the area where the event X

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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7. Suppose a point is selected uniformly at random inside a right-angle triangle with base 5 and height 2. Let X be the distance from the base of the triangle to this point. (a) Find the cdf and pdf of X. (b) Calculate E(X). (c) Generalize your result above to a right angle triangle with base b and height h. Hint: Draw the triangle and any point (x, y) inside it, then shade the area where the event X <x occurs.
Transcribed Image Text:7. Suppose a point is selected uniformly at random inside a right-angle triangle with base 5 and height 2. Let X be the distance from the base of the triangle to this point. (a) Find the cdf and pdf of X. (b) Calculate E(X). (c) Generalize your result above to a right angle triangle with base b and height h. Hint: Draw the triangle and any point (x, y) inside it, then shade the area where the event X <x occurs.
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