Let X beauniformdistributionover [L,U] with L < U. (a) Specifythe pdf of X and find E(X). (b)

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Let X beauniformdistributionover [L,U] with L < U.

(a) Specifythe pdf of X and find E(X).

(b) From Section 2.3.3, auniformrandomvariable Y over[0,1]hasmean1/2andstandard deviation 1~

12. Express X as alinearfunction of Y and usethisrelationandresultsin Section 2.3.5 aboutexpectationsoflinearfunctionsofrandomvariablestofind μ and σ

for thedistributionof X.

(c) Report μ and σ when X = SAT(ScholasticAptitudeTest)scorehasauniformdistribution between200and800.Checkyouranswerbyfinding x and s for amillionrandomly generated observations fromthisdistribution.

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Foundations Of Statistics For Data Scientists With R And Python

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Authors: Alan Agresti

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Let X beauniformdistributionover [L,U] with L < U. (a) Specifythe pdf of X and find E(X). (b)

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Foundations Of Statistics For Data Scientists With R And Python

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