The probability mass function for a discrete random variable X is defined as ((1+0)-(x) 0; x = 0,1,2,3,..., η (x) = {(1+0) (2) *; fx(x) 0; e.w. where 0 > 0. Show that it is probability mass function. Find its mean and variance.
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The
defined as ((1+0)-(x) 0; x = 0,1,2,3,..., η (x) = {(1+0) (2) *;
fx(x)
0;
e.w.
where 0 > 0. Show that it is probability mass function. Find its
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- f(X)= 3/8( 4x - 2x2 ) 0<* x <* 2 (* less or equal to) a. Find the variance of X.C1. Let X be a continuous random variable with PDF f(x) = (2-x) ² for -1 1)? (c) Calculate the expectation of X. (d) Calculate the variance of X.The CDF F(x) of a random variable X is given by; F(x) = { 0, ?? ? ≤ 1 ?(? − 1)^4 , ?? 1 < ? ≤ 3 1, ?? ? > 3 } (i)find PDF f(x) (ii) ?(|?| < 1.5), (iii) the mean and variance of X.
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