A stick is one foot long. You break it at a point X(measured from the left end) chosen randomlyuniformly along its length. Then you break theleft part at a point Y chosen randomly uniformlyalong its length. In other words, X is uniformlydistributed between 0 and 1 and, given X =x, Y isuniformly distributed between 0 and x.a. Determine E(YLX = x) and then V(YIX = x). IsE(YIX = x) a linear function of x?b. Determine fAx.y) using fy(x) and fyx(ylr).c. Determine fr(y).d. Use fr(y) from (c) to get E(Y) and V(Y).e. Use (a) and the theorem of this section to getE(Y) and V(Y).

I have solved first three parts (a), (b) and (c). Given The random variable X is uniformly…

A stick is one foot long. You break it at a point X (measured from the left end) chosen randomly uniformly along its length. Then you break the left part at a point Y chosen randomly uniformly along its length. In other words, X is uniformly distributed between 0 and I and, given X =x, Y is uniformly distributed between 0 and x. a. Determine E(YLX = x) and then V(YLX = x). Is E(YLX = x) a linear function of x? b. Determine fr.y) using fy(x) and frx(ylr). c. Determine fr(y).

A stick is one foot long. You break it at a point X (measured from the left end) chosen randomly uniformly along its length. Then you break the left part at a point Y chosen randomly uniformly along its length. In other words, X is uniformly distributed between 0 and I and, given X =x, Y is uniformly distributed between 0 and x. a. Determine E(YLX = x) and then V(YLX = x). Is E(YLX = x) a linear function of x? b. Determine fr.y) using fy(x) and frx(ylr). c. Determine fr(y).

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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