The discrete random variable X X\,X has the probability function
P(X=x)=2x−136\displaystyle P(X = x) = \frac{2x - 1}{36}P(X=x)=362x−1 for x=1,2,3,4,5,6x = 1, 2, 3, 4, 5, 6x=1,2,3,4,5,6
Construct a table giving the probability distribution of XXX.
Find P(1.4<X<3.9)P(1.4 < X < 3.9)P(1.4<X<3.9).
Find P(X≤x)P(X\le x)P(X≤x) for each of x=1,2,3,4,5,6x=1,2,3,4,5,6x=1,2,3,4,5,6.