Instructions: Please show all work in an organized fashion for full credit.
Problem 1.Check if the following functions are density functions:
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Write My Essay For Me(a)f(x) =x_1[0;1](x)
(b)f(x) =x2_1[0;1](x)
(c)f(x) =e????x_1[0;1)(x)
Problem 2.Compute the cumulative distribution functionFof the following densities:
(a)f(x) = 2x_1[0;1](x)
(b)f(x) = 3x2_1[0;1](x)
(c)f(x) =e????x_1[0;1)(x)
Problem 3.Compute the expectationsE[X], whereXis the \random variable” having the
following densities:
(a)f(x) = 2x_1[0;1](x)
(b)f(x) = 3x2_1[0;1](x)
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