1. Let X have the probability density function f(x) = cr(1-x) for 0 ≤x≤ 1 and f(x) = 0 otherwise. (a) Show that c = 6. (b) Find the cumulative distribution function F(x) = P(X ≤ x). (c) Calculate P(.1 < X <.5). (d) Find the mean, variance and standard deviation of X.
1. Let X have the probability density function f(x) = cr(1-x) for 0 ≤x≤ 1 and f(x) = 0 otherwise. (a) Show that c = 6. (b) Find the cumulative distribution function F(x) = P(X ≤ x). (c) Calculate P(.1 < X <.5). (d) Find the mean, variance and standard deviation of 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 29CR
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