3.1-9. Let the random variable X have the pdf f(x) 2(1-x), 0≤x≤ 1, zero elsewhere. (a) Sketch the graph of this pdf, (b) Determine and sketch the graph of the edf of X- (c) Find (i) P(0 ≤ x ≤ 1/2), (ii) P(1/4 ≤X ≤ 3/4), (iii) P(X= 3/4), and (iv) P(X≥ 3/4).

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Need help with ONLY PART C on this Intro to probability and statistics homework problem. Below the homework problem is the answers for PART C from the textbook. Make sure your handwriting is neat and readable.

 

3.1-9
0,
F(x)=x2
0<x< 1.
(c) (i) 3/4, (ii) 1/2, (iii) 0, (iv) 1/16.
Transcribed Image Text:3.1-9 0, F(x)=x2 0<x< 1. (c) (i) 3/4, (ii) 1/2, (iii) 0, (iv) 1/16.
3.1-9. Let the random variable X have the pdf f(x)
2(1-x), 0≤x≤ 1, zero elsewhere.
(a) Sketch the graph of this pdf
(b) Determine and sketch the graph of the edf of X.
(c) Find (i) P(0 ≤ x ≤ 1/2), (ii) P(1/4 ≤X ≤ 3/4),
(iii) P(X=3/4), and (iv) P(X≥ 3/4).
Transcribed Image Text:3.1-9. Let the random variable X have the pdf f(x) 2(1-x), 0≤x≤ 1, zero elsewhere. (a) Sketch the graph of this pdf (b) Determine and sketch the graph of the edf of X. (c) Find (i) P(0 ≤ x ≤ 1/2), (ii) P(1/4 ≤X ≤ 3/4), (iii) P(X=3/4), and (iv) P(X≥ 3/4).
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