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46912 assignment
Conditional Expectation
i) .
a) X is U(0,1)
X is uniform with density function f(x) = 1/(1-0) = 1, 0≤x≤1
To find E(x2)
b) To find cdf of y
c) Using the above to find E(y)
Since cumulative is given by , we have pdf as derivative of this hence =
G(y) = , 0≤y≤1
E(y) =)  dy = 
Same as above.
ii) Given X any point lying between 0 and 1 divide the interval (0,1) into two parts.  Y is U(0.1). 
a) If X=x,

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