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Let the pdf of X be defined by x, 0 < x < 1 c/(x^3), 1

/in /by

Let the pdf of X be defined by x, 0 &lt; x &lt; 1 c/(x^3), 1&lt;x&lt; *infinity*

0, elsewhere

Find (a) The value of c so that f(x) is a pdf. (b) The mean of X (if it exists). (c) The variance of X (if it exists). (d) P(1/2 ≤ X ≤ 2). (e) 82nd percentile

 
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