Refer to attached image A continuous random variable X has the probability density function of given byxf(x)=√(x²+k)30≤x≤40where k R+.(a)Show that √16+k-√k = √ √16+k.(b)Find the value of k.otherwise

To solve part (a) and (b), we need to use the given probability density function (PDF) f(x) and…

Answered: A continuous random variable X has the…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 10E

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A continuous random variable X has the probability density function of given by x f(x)=√(x²+k) 3 0≤x≤4 0 where k R+. (a) Show that √16+k-√k = √ √16+k. (b) Find the value of k. otherwise