Problem 2) The random variable X has the following probability density function: fx(x) = {cx a) Find the constant c. b) Find P[0 < X ≤ 1]. c) Find P[-1/2 ≤ x ≤ 1/2]. Find the CDF Fx(x). d) CX 0≤x≤2 otherwise

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.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
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Solve part C
Problem 2) The random variable X has the following probability density function:
fx(x) = {cx
a) Find the constant c.
b) Find P[0 < X ≤ 1].
c) Find P[-1/2 ≤ x ≤ 1/2].
d) Find the CDF Fx(x).
0≤x≤2
otherwise
Transcribed Image Text:Problem 2) The random variable X has the following probability density function: fx(x) = {cx a) Find the constant c. b) Find P[0 < X ≤ 1]. c) Find P[-1/2 ≤ x ≤ 1/2]. d) Find the CDF Fx(x). 0≤x≤2 otherwise
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