The probability density function (p.d.f.) of a continuous random variable X is defined to be: (kx + for 0

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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The probability density function (p.d.f.) of a continuous random variable X is defined to be:
kx + for 0 < x < 1
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)
Find E(X).
Transcribed Image Text:The probability density function (p.d.f.) of a continuous random variable X is defined to be: kx + for 0 < x < 1 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) Find E(X).
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