Problem 2. A matchbox should contain 50 matches, but this number may vary slightly. The following table shows the distribution of the nlnnber X of matches in a matchbox. X 47 48 49 50 51 52 P 0.05 0.15 0.2 0.3 {1.2 0.1 (a) What is the probability that a matchbox contains between 49 and 51 matches (inclusive)? (b) What is the probability that at least one of two matchboxes contains at least 50 matches? (c) The cost of producing a box of matches is Y = 0.3 +0.01X rubles, where X is the number of matches in a box, 0.01 rubles is the cost of one match, and 0.3 rubles is the cost of a box. Find the distribution of Y