QUESTION 7 1. Approximately 2.5% of the eggs in a store are cracked. if you buy two dozen eggs (24 eggs), what is the probability that: (show all work and round to 3 decimal places a) at least one of your eggs is cracked QUESTION 8 1. At Low Budget Air, historical data shows that 89% of all passengers show up in time to board. Therefore they occasionally overbook flights in hopes of lling each plane to capacity. Suppose a small plane as a capacity of 30 passengers. They book 30 passengers for a ight on this plane. Show your work using the methods from class. Round to 4 decimal places where possible. 1. Find the mean and standard deviation? 2. What is the probability that exactly 23 passengers show up? QUESTION 9 1. Suppose the US Transportation Security Administration (TSA) requires 10% of all airplane passengers be randomly selected for a full screening before boarding a plane. Now suppose you will travel on a plane 8 times in the coming year. Show your work using the methods taught in class. Round to 3 decimal places where possible. (a) What is the probability that you will get screened exactly once? (b) What is the probability that you will get screened at least once? |