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Question
Following is the p. d. f. of a continuous r.v. X.
f(x) = `{(x/8, "for" 0 < x < 4),(0, "otherwise".):}`
Find expression for the c.d.f. of X.
Solution
c.d.f. of X
= F(X)
= `int_0^x x/(8)*dx`
= `(1)/(8) int_0^x x*dx`
= `(1)/(16)[x^2]_0^x`
= `(1)/(16)[x^2 - 0]`
= `x^2/(16)`.
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