Suppose that the distribution of the weights of bags of carrotsfrom brand A is N(1.2,0.049) and the distribution of the weights ofbags of carrots from brand A is N(3.5, 0.081). The weights of bagsfrom two brands is independent. Selecting bags at random find
a) The probability that the sum of a randomsample of the weights of three bags from brand A exceeds the weightof a bag from brand B. Give answer to the 4th decimal.
b) The probability that the weight of a bag ofcarrots from brand A or one-third the weight of a bag of carrotsfrom brand B is at least 1.2 pounds. Give answer to the 4thdecimal.