R2 k - 1 x - ux t= x - Ux 1 - R2 Formulas: Z = Sx n - k Ox Vn Note: There is a box underneath each question. Write your answer in the box. Alternatively, you can also write your exam in word doc or in a piece of paper (which you can scan and convert into JPEG or PDF to upload) and upload in this exam page. a. Suppose per capita income in both countries A and B are normally distributed with mean per capita income in country A as 60K and in country B as 50K. Assume that the total population in country A is the same as the total population in country B. If the variance of per capita income in country B is twice of the variance of per capita income in country A, then approximately draw the income distribution curves for both countries. Please draw the graphs together, not separately. If you cannot draw the diagram in the box underneath, then draw in a piece of paper. Then scan it or take a picture with your phone to upload it here. There is option in this exam to upload your answer(15) b. Suppose a Ford dealer in Fullerton, CA is trying to calculate the probability of his car sale for next week. The dealer knows that the sale of car is normally distributed with population mean 75 and population variance 8. What is the probability that the dealer will sell 78 or more cars next week? (15)