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 filling each plane to capacity. Suppose a small plane as a capacity of 30 passengers. They book 30 passengers for a flight on this plane. Show your set-up for the binomial distribution, you may then use your calculator 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?

Please explain the steps