Which of the following are possible probability density functions? (a) f (x) = ( 1 2 x−1/2, for 0 < x < 1 0, otherwise (b) f (x) = ( 2x−2, for 0 < x < 1 0, otherwise (c) f (x) = ( x−2, for 1 < x < ∞ 0, otherwise
Added by Jhon J.
Step 1
e., f(x) ≥ 0. - The total area under the curve of the function (the integral of f(x) over its domain) must equal 1, which represents the total probability. Show more…
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