The number of peanut M&Ms in a 2 ounce package is normallydistributed with a mean of 28 and standard deviation 2; The numberof Skittles in a 2 ounce package is normally distributed with amean of 60 and standard deviation 4.
Questions 1-3: Suppose that I purchase two 2-ounce packages ofpeanut M&Ms and one 2-ounce package of Skittles.
1. Let X= the total number of pieces of candy in all three bagscombined. What is the distribution of X?
2. What is the probability that the total number of pieces ofcandy in all three bags combined is less than 110?
3. What is the probability that the total number of M&Ms (inboth bags combined) is greater than the number of Skittles?
