A popular vacation resort estimates that 92 percent of guests booked at their resort actually show up. If the resort books 87 guests for which the maximum number is 85, what is the probability that the number of guests who show up will exceed the capacity of the resort? (Round to four decimal places.)

The probability of a number cube landing on 5 is 1/6.  If a number cube is tossed 72  times, how many times can it be expected to land on 5?

35% of all college students major in STEM (Science, Technology, Engineering, and Math). If 32 college students are randomly selected, find the probability that exactly 11 of them major in STEM. Round to 4 decimal places.

The average number of field mice per acre in a 5-acre wheat field is estimated to be 6. Find the probability that fewer than 4 field mice are found on 3 of the next 4 acres inspected.

A large bus company experience bus breakdowns at the rate of 2.5 per day. Find the probability that more than two breakdowns occur on two of the next 5 days.

Find the probability of throwing a sum of 8 at least 2 times 8 throws of a pair of fair 6-sided dice. Answer to the nearest 0.0001.

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 blood testing procedure, blood samples from 6 people are combined into one mixture. The mixture will only test negative if all the individual samples are negative. If the probability that an individual sample tests positive is 0.08, what is the probability that the mixture will test positive? Give your answer as a percent rounded to the nearest tenth of a percent.

Suppose that at a college, 55% of the students earn a degree at the end of four years and 27% earn a degree at the end of five years. What is the probability of earning a degree at the end of four or five years? Give your answer exactly as a decimal (not as a percent).

A nervous kicker usually makes 69% of his first field goal attempts. If he makes his first attempt, his success rate rises to 94%. What is the probability that he makes his first two kicks? The probability that the kicker makes his first two kicks is (Round to three decimal places as needed.)