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Mathematics, 03.05.2020 14:28 kkqueen01

The cdf of a continuous random variable X is
F(x)= 0 ,x<1
cln(x), 1<=x<=e
1 , x>e
a) Find the value of c (hint: use the property of cdf: right-continuous at the point X=e);
b) Find P{X>2}, P{2 c) Find the pdf of X;
d) Find E(X);
e) Find E(exX2).

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The cdf of a continuous random variable X is
F(x)= 0 ,x<1
cln(x), 1<=x<=e
...
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