You are conducting a survey on campus about how many people are right-handed vs. left-handed. The responses you received are listed in the table below. Male Female Total Right-handed 35 42 Left-handed 10 Total 79 11 21 45 55 100 1. One student is to be chosen, compute the probability of the following events occuring. Make sure to show your work. (a) A randomly chosen student is left handed given they are male? (b) A male is chosen from among the left handed students? (c) Among the females, what proportion are right-handed? Two students are to be chosen at random. Compute the probability of the following events. occuring. Make sure to show your work. (a) The probability that both picks are right handed. (b) The probability that you get one left-handed individual and one right-handed individ- ual.