Answer all questions with explanation

1) Suppose that 3 persons are playing a dart game. Suppose that person A plays 10 times, and the probability that she will hit the target is 0.3 on average; person B plays 15 times, and the probability that she will hit the target is 0.2 on average; person C plays 20 times, and the probability that she will hit the target is 0.1 on average. Compute the probability that the target will be hit at least 12 times.

2) Suppose that 16 digits are chosen at random with replacement from the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. Compute the probability that their average will lie between 4 and 6.