12. Suppose the pdf is given by f(x)Cx2 for 1 < I < 2, and zerootherwise.(a) Find the value of C.(b) Find the likelihood that a point selected at random with respectto this pdf is between 1.5 and 2(c) With X(x) = x, find E(X) and Var(X)

The total probability under a probability density curve is 1. Integrating f(x) from 1 to 2 and…

Answered: 12. Suppose the pdf is given by f(x)…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.6: Exponential And Logarithmic Equations

Problem 64E

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12. Suppose the pdf is given by f(x) Cx2 for 1 < I < 2, and zero otherwise. (a) Find the value of C. (b) Find the likelihood that a point selected at random with respect to this pdf is between 1.5 and 2 (c) With X(x) = x, find E(X) and Var(X)