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Find the value of k that makes the above function a proper p.d.f. Part b) Hence find P(0.25 < X < 1).

Find the value of k that makes the above function a proper p.d.f. Part b) Hence find P(0.25 < X < 1).

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 39E: Assume that the probability that an airplane engine will fail during a torture test is 12and that...
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The probability density function (p.d.f.) of a continuous random variable X is defined to be: + k for 0 < x < 2 6 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).
Transcribed Image Text:The probability density function (p.d.f.) of a continuous random variable X is defined to be: + k for 0 < x < 2 6 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).
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