The probability density function (p.d.f.) of a continuous random variable X is defined to be: x ( + k for 0 < x < 2 f(x) = {{ 0 otherwise, for some constant k. For these problems, please ensure your answers are accurate to within 3 decimals. Part a) Find the value of k that makes the above function a proper p.d.f. Part b) Hence find P(0.25 < x < 1).

The probability density function (p.d.f.) of a continuous random variable X is defined to be: x ( + k for 0 < x < 2 f(x) = {{ 0 otherwise, for some constant k. For these problems, please ensure your answers are accurate to within 3 decimals. Part a) Find the value of k that makes the above function a proper p.d.f. Part b) Hence find P(0.25 < x < 1).

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 22CR

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