From experience, an airline knows that only 70% of the passengers booked for a certain flight actually show up. If 7 passengers are randomly selected, find the probability that more than 5 of them show up. Carry your intermediate computations to at least four decimal places, and round your answer to two decimal places. (If necessary, consult a list of formulas.)

In a large population, 68 % of the people have been vaccinated. If 4 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated? Give your answer as a decimal (to at least 3 places) or fraction.

An earth-conscious clothing store offers a 15% discount if you bring in a bag full of old clothing to recycle the fabric. The probability that each bag brought in will contain fabric that can actually be recycled is 69%. In a given day, if there are 20 bags of fabric brought in to recycle, calculate the following: Round each answer to 4 decimal places. The probability that at least 9 bags will contain fabric that can be recycled

A group of people were asked if they had run a red light in the last year. 312 responded "yes", and 163 responded "no". If a person is chosen at random, find the probability that she or he had run a red light in the last year. Give your answer as a fraction or decimal, rounded to 4 decimal places.