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).
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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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Need help with ONLY PART C on this Intro to
![3.1-9
0,
F(x)=x2
0<x< 1.
(c) (i) 3/4, (ii) 1/2, (iii) 0, (iv) 1/16.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2b62c17d-5c05-48d6-ac2b-a3a7c31907f7%2F7ce4b1f8-e435-4c5b-b660-db89bba00d0d%2Fhohjr2t_processed.png&w=3840&q=75)
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).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2b62c17d-5c05-48d6-ac2b-a3a7c31907f7%2F7ce4b1f8-e435-4c5b-b660-db89bba00d0d%2Fo1rtz28_processed.png&w=3840&q=75)
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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