Quiz 4: Good luck! (Due Tuesday March 15th at 11: 59 pm) Question 1 (25 points total): Refer to the below of men and women that play soccer. _ Row totals m-__ Male Column Total Grand Total: 120 a.) What is the probability that the person is a female and plays soccer (Hint: Find P(Female and Soccer). b.) What is the Probability that the person plays soccer given they are female (Hint: P(Soccer/Female))? How about the Probability the person is female given they play soccer (Hint: P(Female/Soccer)? c.) Is the event a person Is Female and the event a person play Soccer Independent or not Independent? Please show work. Question 2 (Must show work by using Demorgan's Laws, Compliment Rule, and Addition Rule): (25 points total) From Question 1, What is the probability any individual selected at random is not a female and doesn't play soccer? (hint: Look at the surgery problem we went over in class which is similar to Chapter 13 question #1 on Achieve. Remember, on this question Demorgan's Laws, the Compliment Rule, and the addition rule should solve this problem)