10. For any real number y, defined y+ bySy, if y 2 0y+10, if y < 0Let c be a constanta. Show that1E[(Z – c)*] =e7 – c(1 – ¤(c))/2nWhen Z is a standard normal random variable.b. Find E[(X –c)*] when X is normal with mean u and o?.

Given, for any real number y, y+=y , if y≥00 , if y<0

Answered: 10. For any real number y, defined y*…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 32E

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10. For any real number y, defined y* by y* = (у, if y 2 0 10, if y <0 Let c be a constant a. Show that 1 E[(Z – c)*] =e7- c(1 – #(c)) 2n When Z is a standard normal random variable. b. Find E[(X – c)*] when X is normal with mean u and o?.

10. For any real number y, defined y* by y* = (у, if y 2 0 10, if y <0 Let c be a constant a. Show that 1 E[(Z – c)] =e7- c(1 – #(c)) 2n When Z is a standard normal random variable. b. Find E[(X – c)] when X is normal with mean u and o?.