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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 47E

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Finding the mode and median of a distribution
A continuous random variable X has probability density function fx(x) given by
fx(x) = k(2-x)(x - 5),
2≤x≤5,
= 0,
elsewhere.
Find the value of k, and hence deduce the mean and variance of X. What are the values of the
mode and median of the distribution of X?

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