QUESTION 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.

QUESTION 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.