From experience, an airline knows that only 70% of the passengers booked for a certain flight actually show up. If 8 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.)

You roll two dice and record the numbers facing up.  What is the probability of rolling doubles or a sum of 8? Your answer should be a decimal (not a percent) correct to three decimal places.

In a large population, 68 % of the people have been vaccinated. If 3 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.

A certain basketball team makes 70% of its free throws on average. In a game where the team shoots 40 free throws. what is the approximate probabillity that the number of free throws made by the team wilbe at least 25%

A place kicker in the NFL makes 78% of his field goals. If the outcomes are independent, what is the probability that he makes exactly 6 of the next 8 field goals? Round your answer to 4 decimal places

At bedtime, you read three books to your kids, Walker, Michael, and Luke. Together, they have 32 books. If you decide to randomly choose three books, what is the probability that the three you choose will consist of each of their favorite books? Assume they have different favorites. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

Suppose 10% of all redeemed coupons at a supermarket are for 50% off the item purchased. A simulation is used to model a coupon randomly selected and then recorded as 50% off or not 50% off. Which simulation best models the scenario? Place 40 equally sized pieces of paper in a hat. Of the 40, 4 read "50% off" and the rest read "not 50% off ". O Place 30 equally sized pieces of paper in a hat. Of the 30, 6 read "50% off" and the rest read "not 50% off ". O Place 80 equally sized pieces of paper in a hat. Of the 80, 10 read "50% off" and the rest read "not 50% off ". O Place 50 equally sized pieces of paper in a hat. Of the 50, 10 read "50% off" and the rest read "not 50% off ".