4 . A Department of Transportation survey asked 430 commuters what their primary mode of transportation to work is. The following table summarizes the results of the survey: Male Public Transportation Female Total 31 Show work for each question 37 68 Drive alone Round all answers to 4 decimals 172 142 314 Other means 17 31 48 Total 220 210 430 a. [4 pts] What is the probability that a commuter takes public transportation? b. [4 pts] What is the probability that a commuter drives alone or is a female? c. [4 pts] What is the probability that a commuter takes public transportation given that the person is a woman? (Must show work)