The discrete random variable X X\,X has the probability distribution given in the table below, where a a\,a is a constant.
| xxx | 0 | 1 | 2 | 3 |
|---|---|---|---|---|
| P(X=x)P(X = x)P(X=x) | 0.2 | 0.3 | 0.25 | aaa |
Find the value of aaa.
Find P(X>1.2)P(X > 1.2)P(X>1.2).
Find P(X≤x)P(X\le x)P(X≤x) for each of x=0,1,2,3x=0,1,2,3x=0,1,2,3.