There are 5 horses running in a race, and you own the one named Joe. Let X be the order Joe finishes the race (1st, 2nd, etc.). Below is a

table for the probability for each X-value. a. What place is Joe expected to finish? b. What is the standard deviation of the place Joe will finish? ( c. What is the probability that Joe will finish the third place? ( c. What is the probability that Joe will finish at least the second place? ( d. What is the probability that Joe will finish at most the third place?