QUESTION 31 A study was conducted to determine if there is a relationship between gender and favorite color Use the data in the following table to answer the questions below: Red (R) Blue (B) Neither (N) Total Female 200 45 150 800 Male 350 250 100 700 Total 550 700 250 1500 What is the probability that a randomly selected person's favorite color is red? A. 800/1500 What is the probability that a randomly selected person is male? B. 450/800 What is the probability that a randomly selected woman prefers Blue? C. 600/1500 What is the probability that a randomly selected man prefers either Red or Blue? D. 550/1500 What is the probability that a randomly selected person is a female whose favorite color is Red? E. 1250/1500 Being a man and not having a favorite color are dependent events because: F. Gender and favorite color do not have a relationship G. 450/1500 What is the probability that a randomly selected person prefers either Red or Blue? H. 350/1500 at is the probability that a randomly selected person is a man and does not have a color preference? 1. P(M) = 700/1500 is not equal to P(MIN) = 100/250 A. J. 200/1500 B. K. 650/800 C. L. 550/1500 D. M. P(MIN) = 100/250 is not equal to F(N|M) = 100/700 N. 100/700 O. 700/1500 P. 100/1500 Q. P(M) = 700/1500 is not equal to P(N) = 250/1500 R. 600/700 ON 32 M. N. L THREE of the following questions in the space provided below. (NOTE: do NOT simplify your answers. So, an answer such as: P(A|E) = [(0.3)(0.65)]/[(0.3)(0.65) + (0.7)(0. O . u MUST phrase your question in terms of events (F, F', S, S') AND provide the unsimplified solution. Q. ssin works by looking for patterns in the words in emails marked as spam by the user. For example, it may have learned that the word "free" appears in 20% of the emails mark m. Answer each of the following questions, be sure to phrase the question in terms of events (F: Free; F': no Free; S: Spam; S': not Spam) R . : probability that a randomly selected email contains the word: "free" Find the probability that a randomly selected email containing the word "free" is spam