Let X be a random variable with CDF Fx (x)=x³ for 0 ≤ x ≤ 1. Find: a) P (X > ¹); b) the density function fx (x); c) E(X). d) Let Y₁, Y2, Y3 be three points chosen independently and uniformly on the unit interval [0, 1], and let X be the rightmost point of them. Show that X has the distribution described above.
Let X be a random variable with CDF Fx (x)=x³ for 0 ≤ x ≤ 1. Find: a) P (X > ¹); b) the density function fx (x); c) E(X). d) Let Y₁, Y2, Y3 be three points chosen independently and uniformly on the unit interval [0, 1], and let X be the rightmost point of them. Show that X has the distribution described above.
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
Problem 30CR
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