Question

#8) please explain and show all work

B: Selecting an adult man who works part time 6) At a small four-year college, all freshmen and sophomores are required to enroll in exactly one of the following math classes: Math I, Math I or Math 200 freshmen and 450 sophomores are enrolled in Math I, 350 freshmen and 400 sophomores are enrolled in Math II, and 250 freshmen and 300 sophomores are enrolled in Math l. a) Find the probability that a randomly chos en person is either a freshman or enrolled in Math l. b) Find the probability that a randomly chosen person is taking Math I given that he is a sophomore. c) When two students are chosen randomly, find the probability that they are both freshmen and enrolled in Math I Through a manufacturing error, three cans marked "regular soda" were accidentally filled with diet soda and placed into a 12 pack. When 2 cans are randomly chosen from the 12 pack without replacement, find the probability of selecting a) two diet soda cans b) at least one diet soda 7) 8) A student experiences difficulties with malfunctioning al arm clocks. Instead of using one al arm clock, he decides to use four. a) What is the probability that at least one alarm clock works correctly if each clock has a 95% chance of working correctly? b) Find the probability that all of the clocks work correctly.

Answer 1