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).

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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