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The random variable X, has the following probability density function. 3 (3x– x²) f,(x)=310 ; for 0 1,24) = 0,5

The random variable X, has the following probability density function. 3 (3x– x²) f,(x)=310 ; for 0 1,24) = 0,5

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 random variable X, has the following probability density function. 3 fx(x)={10 (3x – x²) ; for 0 <x <2 ; for another x. a) The cumulative distribution function of X, F(X); b) Probability , P(1 <x< 1,5); c) Prove that the Median value is in the range x = 1.23 and x = 1.24 or prove P, (X<1,23) - 0,5 And P(X > 1, 24) - 0,5
Transcribed Image Text:The random variable X, has the following probability density function. 3 fx(x)={10 (3x – x²) ; for 0 <x <2 ; for another x. a) The cumulative distribution function of X, F(X); b) Probability , P(1 <x< 1,5); c) Prove that the Median value is in the range x = 1.23 and x = 1.24 or prove P, (X<1,23) - 0,5 And P(X > 1, 24) - 0,5
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