Q.1 A continuous random variable X has the following function -3

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Q.1 A continuous random variable X has the following function
fx (x) = {K
-3 <x < 15
0B
e.w.
(i) For what value of K is fx(x) a probability density function?
(ii) Find the cumulative distribution function (edf) and use cdf to
find P(1 < X < 12).
(iii) Find Var(X).
(iv) Find moment generating function.
Transcribed Image Text:Q.1 A continuous random variable X has the following function fx (x) = {K -3 <x < 15 0B e.w. (i) For what value of K is fx(x) a probability density function? (ii) Find the cumulative distribution function (edf) and use cdf to find P(1 < X < 12). (iii) Find Var(X). (iv) Find moment generating function.
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