I need help please

2. Suppose a large company is interested in hiring 500 employees in a short amount of time. There are 240 positions available in manufacturing, and 260 available in customer service. They advertise the positions and receive 600 applications for the manufacturing jobs, and 800 applications for the customer service jobs. Assume that applicants can only apply for one type of position. Suppose 75% of applicants to the manufacturing position have only a high school diploma, and 25% have at least some postsecondary education. Suppose 85% of applicants to the customer service position have only a high school diploma, and 15% have at least some postsecondary education. This scenario leads to the following contingency table: Applicant applied for Applicant applied for Row totals a manufacturing a customer service position position Only a high school AnB = 450 diploma At least some postsecondary education Column totalse) Are events A and B independent? Why or why not? Use the mathematical definition of independence. If rounding is necessary, then round to 4 decimal places. If your answer has fewer than 4 decimal places, do not bother rounding (e.g., if your answer is 0.1, then don't bother writing 0.1000 - you can leave it as 0.1). f) Are events A and B independent? Why or why not? Use the mathematical definition of H independence. If rounding is necessary, then round to 4 decimal places. If your answer has fewer than 4 decimal places, do not bother rounding (e.g., if your answer is 0.1, then don't bother writing 0.1000 - you can leave it as 0.1).d) [2 marks] Are events A and B mutually exclusive? Why or why not? Hint: You may wish to use common sense here, instead of the mathematical definitions