Question

A random variable X has the following probability distribution : (a) Find k (b) Find P (O <X < 4) (c) Optain cumulative distribution function (c. d. f. ) of X.

Answer 1

(a) `K+3K+5K+7K+9K+11K+13K=1`
`therefore" "49K=1`
`therefore" "K=(1)/(49)`
(b) `P(0 lt x lt 4)=P(1)+P(2)+P(3)`
`=(3)/(49)+(10)/(49)+(21)/(49)`
`=(34)/(49)`
(c) `c.d.f = (2x+1)K,, 0 le x`