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4. For each of the following functions, Find c so that the function is a PDF. a) (cx² + x) 10.11(x). b) 1-cx 0.21(x). c) 1/c (a,b) (x) where a and b are real numbers, a

4. For each of the following functions, Find c so that the function is a PDF. a) (cx² + x) 10.11(x). b) 1-cx 0.21(x). c) 1/c (a,b) (x) where a and b are real numbers, a

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. A random variable X has the following PDF: fx(x) = 1/2l(-1.01 (x) + 1 (2-x)(0,2)(x). a) Find its CDF. b) Evaluate the following probabilities: (1) P(-½ < X ≤ 1) (ii) P(X>1) (iii) P(X>-|X ≤ 1) 2. Suppose the PDF of X is given by fx(x) = 5e-5xl(o)(x). Find its CDF. 3. Find a PDF of a random variable X whose CDF is given by Fx(x) = (1-e*), (X). 4. For each of the following functions, Find c so that the function is a PDF. a) (cx² + x) 0,11). b) 1-cx 0.21(x). c) 1/c (a,b) (x) where a and b are real numbers, a <b.
Transcribed Image Text:1. A random variable X has the following PDF: fx(x) = 1/2l(-1.01 (x) + 1 (2-x)(0,2)(x). a) Find its CDF. b) Evaluate the following probabilities: (1) P(-½ < X ≤ 1) (ii) P(X>1) (iii) P(X>-|X ≤ 1) 2. Suppose the PDF of X is given by fx(x) = 5e-5xl(o)(x). Find its CDF. 3. Find a PDF of a random variable X whose CDF is given by Fx(x) = (1-e*), (X). 4. For each of the following functions, Find c so that the function is a PDF. a) (cx² + x) 0,11). b) 1-cx 0.21(x). c) 1/c (a,b) (x) where a and b are real numbers, a <b.
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