No Spacing Heading 1 Heading 2 All work must be clearly shown for credit Math 12 Midterm #2 (Spring 2024) 1. In 2023, Southwest Airlines had 76% On-Time Percentage (OTP) for flights. Suppose 4 flights are randomly selected from Southwest Airlines, find the probability of each: a) All four are On-time (x = 4). (6 pts) b) None of the four are On-time (x - 0). c) At least one is On-time (x 2 1). 2. Fantasy 5 California lottery has a top prize for matching all $ of 5 numbers picked between 1 and 39. If you choose one combination, what's the probability it's the winner? (4 pts) 3. The given probability distribution describes customer ratings for a kitchen vented range hood at Home Depot. Find: (8 pts) Stars (x) Ratings P(x) a) Expected value (mean average) 5 42% 33% 3 15% 2 1% b) Standard deviation (SD = sigma) 9% c) Lower and Upper Normal limits