Section A The frequency distribution of the number of days to maturity of 40 short-term investments is given below. Days Frequency 29.5 - 39.5 3 39.5 - 49.5 1 49.5 - 59.5 59.5 - 69.5 10 69.5 - 79.5 7 79.5 - 89.5 7 89.5 - 99.5 4 Question 1 If one of the investments is randomly chosen, what is the probability that it's number of days to maturity is less than 69.5 but at least 39.5? Question 2 What is the probability that a randomly chosen investment has at least 79.5 days to maturity? Section B Suppose you are given the sample space: S = { 30, 40, 60, 80, 90, 110, 120, 130, 140, 160} Define the 3 following events: A = { 40, 60, 80, 110} B = { 30, 60, 80, 130, 140} C = { 40, 60, 80, 120, 140, 160 }