3. (15 points) Suppose that you are a financial consultant for an investor who is interested in a certain stock. You note that the stock value as a function of time t in years since 2015 has the graph below. 400 300 www == (0) Stock Value (SCAD) 200 WAM 100 6 0 1 2 3 4 5 Timet (years) (a) Estimate the average rate of change of the stock over this 6-year period. Show your calculation and round your answer to the nearest 0.1. Answer: (b) Roughly sketch graphs of each of the following functions. Be sure to label your ares. i. The density function for the stock ii. The cumulative distribution function values over the 6-year period. for the stock values over the 6-year period. 6 (c) The average (or mean) value of the stock over the six year period is given by which of the following? Select all correct answers. Shade the bubble(s) using a dark colour. $(6) - FO) where f(t) represents the stock value at time t, as above. od sce)dt, where f(t) represents the stock value at time t, as above. ftple ) dt, where p is the density function you graphed in (b)i