# Question

Nicol lets the pdf of X be defined by

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).

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).

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