7. [6 marks] The Biology Department at a university plans to recruit a new faculty member. Data collected by a different university on the 500 possible candidates were available. The Biology Department is debating whether to put a requirement of 10 years of teaching experience in the job advertisement. The available data on the candidates are shown below. Work Experience Gender Less than 10 years' experience 10 or more years' experience Male 200 135 Female 122 43 a) [2 marks] What percentage of candidates is male or has 10 or more years' experience? b) [1 mark] We randomly select a male candidate. What is the probability that the selected male candidate has 10 or more years' experience? c) [3 marks] A candidate is randomly selected. Are the events A = {a candidate is male} and B = {a candidate has 10 of more years' experience} independent? Support your answer by using probability calculations