. Question 11 The annual rainfall in a certain region is approximately normally distributed with mean 42.2 inches and standard deviation 5.4 inches. Round answers to the nearest tenth of a percent. a) What percentage of years will have an annual rainfall of less than 44 inches? b) What percentage of years will have an annual rainfall of more than 39 inches? c) What percentage of years will have an annual rainfall of between 38 inches and 43 inches?. Question 12 The number of people who survived the Titanic based on class and gender is in the following table. Suppose a person is picked at random from the survivors. Class Female Male Tote 1st 133 58 191 2nc 94 24 118 Ard 80 58 138 Tote 30 140 44. a) What is the probability that a survivor was female? Round final answer to 3 decimal places. b) What is the probability that a survivor was in the 1st class? Round final answer to 3 decimal places. c) What is the probability that a survivor was a female given that the person was in 1st class? Round final answer to 3 decimal places. dj What is the probability that a survivor was a female and in the 1st class? Round final answer to 3 decimal places. e) What is the probability that a survivor was a female or in the 1st class? Round final answer to 3 decimal places. () Are the events "survivor is a female" and "survivor is in 1st class" mutually exclusive? Why or why not? gl Are the events "survivor is a female" and "survivor is in 1st class" independent? Why or why not?- During exam, a professor is passionately interested in catching oheaters and penalizing them. The professor commits a Type I error when: G a student is penalized more than once. 0 a student who cheated is penalized. O a student who is not penalized failed the exam. C: a student who cheated is not penalized. D the professor penalizes a student that did not oheat. G the professor takes no action. 0 a student who did not cheat failed the exam. 0 a student who did not write the exam is not penalized