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

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.2: Probability
Problem 3E: The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the...
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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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