2. Show wheth er each of the following satisfy the conditions to be a probability density:...
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2. Show wheth
⎧
er each of the following satisfy the conditions to be a probability density:
⎪⎨
0 x < 0
(a) f(x) = ⎪x 0 ≤ x ≤ 2
⎩
�
0 x > 2 1/2 −1 < x < 1
(b) f(x) =
�
0 otherwise 2x 1 < x < 2
(c) f(x) = 3 −
�
0 otherwise e−x x > 0
(d) f(x) = 0 otherwise
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