7 An individual is picked from a group of 52 athletes. Suppose 26 of the athletes are females and six of them are swimmers. Also there are 10 swimmers among the males. A) What is the probability that the individual is a swimmer ? B) What is the probability that the individual is a female and a swimmer? C) What is the probability that the individual is a male or a swimmer D) Are the events "Swimmer" and "Female" mutually exclusive? QUESTION 8 An article titled\" Pain and Pain related side effects in an ICU and on s surgical unit: Nurses' Management\" (American Journal of Critical Care, January 1994, Vol 3, No 1) gave the following table summarizing the study participants. (Note that ICU is an acronym for Intensive care unit) Gender ICU Surgical Unit Female 10 7 Male 12 One of the participants is selected at random. Answer the following questions: A) Given the person is a male, what is the probability that he is from ICU. 19 B) Given the person is chosen from a surgical unit, what is the probability that it is a female. QUESTION 9 A particular automatic sprinkler system for high-rise apartment buildings, office buildings, and hotels has two different types of activation devices for each sprinkler head. One type has a reliability of 0.91( that is, the probability that it will activate the sprinkler when it should be is 0.91). The other type, which operates independently of the first type, has a reliability of 0.87. Suppose a fire starts near a particular sprinkler head. What is the probability that the sprinkler head will be activated. A) 0.0117 B) 0.9883 C) 0.7917 D) None of the Above QUESTION 10 Suppose the sample space S= {1,2,3,4,5} where P(1) = 0.1, P(2) = 0.2,P(3) = 0.3, P(4) = 0.15. Also let the events A = {1,2,3}, B = {2,4}, and C = {3,4, 5}. Find the following: A) P(5) B) P(A) C) P(A U B) D) P(Ac) E) P(Ac U Bc)