(b) Let the continuous random variable X has probability density function as follows, (k(x + 2)², -2

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(b)
Let the continuous random variable X has probability density function as follows,
(k(x + 2)²,
-2 < x < 0
f(x) = { 4k,
4
0<x <5
0,
otherwise
(i)
Find the value of constant k.
(ii)
Find the value P(-1<x< 1)
Transcribed Image Text:(b) Let the continuous random variable X has probability density function as follows, (k(x + 2)², -2 < x < 0 f(x) = { 4k, 4 0<x <5 0, otherwise (i) Find the value of constant k. (ii) Find the value P(-1<x< 1)
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