When a scout group of 8 juniors and 12 seniors meets on a Monday evening, one scout is randomly selected to hoist a flag. Let the variable X represent the number of juniors selected over n consecutive Monday evenings.

a. By drawing up the probability distribution table for X, or otherwise, show that E(X ) = 1.2 when n = 3.

b. Find the number of Monday evenings over which 14 juniors are expected to be selected to hoist the flag.