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3.1-8. For each of the following functions, (i) find the constant c so that f(x) is a pdf of andom variable X; (ii) find the cdf, F(x) = P(X ≤ x); (iii) sketch graphs of the pdf f(x) and the distribution function F); and (iv) find u, o², and the index of skewness, V. b. f(x) = (3/16)x², - c < x < c. c. f(x) = c/√x, 0

3.1-8. For each of the following functions, (i) find the constant c so that f(x) is a pdf of andom variable X; (ii) find the cdf, F(x) = P(X ≤ x); (iii) sketch graphs of the pdf f(x) and the distribution function F); and (iv) find u, o², and the index of skewness, V. b. f(x) = (3/16)x², - c < x < c. c. f(x) = c/√x, 0

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 4E
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Hello I am really struggling with this problem because I don't understand it, Can you please do the problem step by step and can you label the parts as well.

3.1-8. For each of the following functions, (i) find the constant c so that f(x) is a pdf of a the pdff(x) random variable X; (ii) find the cdf, F(x) = P(X ≤ x); (iii) sketch and the distribution function F(x); and (iv) find μ, o², and the in b. f(x) = (3/16)x², - c < x < c. c. f(x) = c/√x, 0<x< 1.
Transcribed Image Text:3.1-8. For each of the following functions, (i) find the constant c so that f(x) is a pdf of a the pdff(x) random variable X; (ii) find the cdf, F(x) = P(X ≤ x); (iii) sketch and the distribution function F(x); and (iv) find μ, o², and the in b. f(x) = (3/16)x², - c < x < c. c. f(x) = c/√x, 0<x< 1.
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