5/ FV) Part 2. Solve all of the problems below. Remember to leave proof of your work to 1. At the beginning of spring, a shoe store manager finds that clients come in search of slip-on shoes (X) and sandals (Y). The manager analyzes data of prices paid by buyers who took home sandals and slip-on shoes. The results are included in the following probability distribution table: Y = price of sandals 65 80 100 P(x) X= 120 0.101 0.061 0.068 0.230 Price of slip- 150 0.068 0.162 0.114 0.344 on shoes 200 0.081 0.132 0.213 0.426 P(y) 0.250 0.354 0.396 1.000 The expected value of the price of slip-on shoes is $164.39 with a standard deviation of 32.63. For sandals, the expected price is $84.15 and the standard deviation 14.05. Using this information find: C. a. The covariance and b. The correlation between the two. i. (only use if you don't know how to solve part b assume xy = 115.67 to obtain the correlation. This will give you half the points) In lay terms, explain your findings to the manager by explaining what the correlation coefficient and covariance are and the conclusions the manager can draw from them.