Question 3 (6 points) a) A friend of yours studies psychology and tells you that since females are more likely to develop an artistic talent than males, a female is more likely to become an artistic engineer (i.e., artist and engineer) than to become an engineer, since she also says that males are more likely to become engineers than females. Based on what we have seen in ECO2150, what would you respond to your friend, and why? When answering this question, assume that females are more likely to develop an artistic talent than males and that males are more likely to become engineers than females? Show your work. (3 points) b) Another friend of yours studies engineering and is taking a calculus course. She wants your help to compute an integral. Based on what we have seen in ECO2150, what is ( x-H) 2 Le 202 dx? Show your work. (3 points)