Someone lets the pdf of X be defined by f(x) = x, 0 ? x ? 1; c/x^3, 1 ? x

Name: Someone lets the pdf of X be defined by f(x) = x, 0 ? x ? 1; c/x^3, 1 ? x < ?; 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) ?0.82
Uploaded: 2023-06-13T07:16:31-08:00
Duration: 2 min 40 s
Channel: Sri K
Description: Someone lets the pdf of X be defined by f(x) = x, 0 ? x ? 1; c/x^3, 1 ? x < ?; 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) ?0.82

Question

Someone lets the pdf of X be defined by f(x) =  x, 0 ? x ? 1; c/x^3, 1 ? x &lt; ?; 0, elsewhere. Fi

Sri K · Accepted Answer

Step 1: Find the value of c so that f(x) is a pdf.

Question

Someone lets the pdf of X be defined by f(x) = { x, 0 ? x ? 1; c/x^3, 1 ? x < ?; 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) ?_{0.82}

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