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1. Consider the Continuous Distribution Given by its Probability Density Function f(x) = x € [10, 30] [10,30] A. Confirm that f(x) is indeed a Probability Density Function. Thus you have to show that the following two conditions are true 1. f(x) > 0 II. The Area under its graph is equal to 1. Hint: Its a graph will be a Triangle x < 10 0 B. Confirm that F(x) = (x − 10)² ÷ 400 10 ≤ x ≤ 30 is the 1 x > 30 Cumulative Distribution Function (CDF) of this probability density function. Hint: Area under a curve is gonna be a triangle, compute its area at a given point. 2-10 200 0

1. Consider the Continuous Distribution Given by its Probability Density Function f(x) = x € [10, 30] [10,30] A. Confirm that f(x) is indeed a Probability Density Function. Thus you have to show that the following two conditions are true 1. f(x) > 0 II. The Area under its graph is equal to 1. Hint: Its a graph will be a Triangle x < 10 0 B. Confirm that F(x) = (x − 10)² ÷ 400 10 ≤ x ≤ 30 is the 1 x > 30 Cumulative Distribution Function (CDF) of this probability density function. Hint: Area under a curve is gonna be a triangle, compute its area at a given point. 2-10 200 0

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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1. Consider the Continuous Distribution Given by its Probability Density Function x-10 x € [10, 30] f(x) = 200 0 x [10,30] A. Confirm that f(x) is indeed a Probability Density Function. Thus you have to show that the following two conditions are true 1. f (x) > 0 II. The Area under its graph is equal to 1. Hint: Its a graph will be a Triangle 0 x < 10 (10)² 400 10 ≤ x ≤ 30 is the 1 x > 30 Cumulative Distribution Function (CDF) of this probability density function. Hint: Area under a curve is gonna be a triangle, compute its area at a given point. B. Confirm that F(x)= =
Transcribed Image Text:1. Consider the Continuous Distribution Given by its Probability Density Function x-10 x € [10, 30] f(x) = 200 0 x [10,30] A. Confirm that f(x) is indeed a Probability Density Function. Thus you have to show that the following two conditions are true 1. f (x) > 0 II. The Area under its graph is equal to 1. Hint: Its a graph will be a Triangle 0 x < 10 (10)² 400 10 ≤ x ≤ 30 is the 1 x > 30 Cumulative Distribution Function (CDF) of this probability density function. Hint: Area under a curve is gonna be a triangle, compute its area at a given point. B. Confirm that F(x)= =
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