Consider 2 trials, each having the same probability of success. Let $X$ denote the total number of successes in these trials. If $E[X] = 0.6$, find each of the following.

(a) The largest possible value of $P\lbrace X = 2\rbrace$:
$P\lbrace X = 2\rbrace \le$

(b) The smallest possible value of $P\lbrace X = 2\rbrace$:
$P\lbrace X = 2\rbrace \ge$
In this case, give possible values for the remaining probabilities:
$P\lbrace X = 0\rbrace =$
$P\lbrace X = 1\rbrace =$