1. Let X be a continuous random variable with the following probability density function: f(x) = { ce-4x 0. x ≥0 elsewhere where c is a positive constant. (a) Find c. (b) Find the cumulative distribution function of X (c) Find Pr(2 < x < 5). (d) Find E(X).
1. Let X be a continuous random variable with the following probability density function: f(x) = { ce-4x 0. x ≥0 elsewhere where c is a positive constant. (a) Find c. (b) Find the cumulative distribution function of X (c) Find Pr(2 < x < 5). (d) Find E(X).
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 4CR
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