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mixed type distribution

Posted by N on Sep 15, 2014; 4:00am
URL: http://discussion-forum.276.s1.nabble.com/mixed-type-distribution-tp7595558.html

Let x be a random variable of the mixed type having the distributions function

F(x)=         0    if x<0
                 x^2/4   if 0 is less than and equal to x <1
                 (x+1)/4   if 1 is less than equal to x  and < 2
                 1              2 is < and = to x

find mean of x
and probability at x =1/2