Suppose that the probability of a plane arriving on time is 80%. Out of ten flights, what is the probability that at least seven will arrive on time? Explain your reasoning.

An insurance company offers a $50,000 life insurance policy to people age 30 for $200. The offer the same policy to 50 year olds for $300. If the probability a 30 year olds dies within one year is 0.0018, and the probability of someone 50 years of age is 0.0049 explain which policies the insurance company will make the largest profit.

A high school baseball player has a 0.179 batting average. In one game, he gets 8 at bats. What is the probability he will get at least 5 hits in the game?

A recent survey showed that 17% of community college students experienced at least some homelessness during their first year at a community college. Surveys also show that 80% of community college students need to take English their first year at a CC. Based on these surveys what is the probability of first year CC students experiencing at least some homeless during their first year and taking an English class? Show the formula, the math plug-ins, and answer.

A region averages 1.5 droughts per decade. What is the probability of getting 5 droughts in the next 30 years? 5 droughts in 30 years is very close to the average value of 4.5 in 30 years. Explain why the probability you got above makes sense. What is the probability of getting at least 1 drought in the next decade?

A high school baseball player has a 0.273 batting average. In one game, he gets 7 at bats. What is the probability he will get at least 5 hits in the game?

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 baseball player has a batting average of 0.295. What is the probability that he has exactly 5 hits in his next 7 at bats?The probability is

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.

Assume that male and female births are equally likely and that the birth of any child does not affect the probability of the gender of any other children. Find the probability of exactly two boys in ten births. Round the answer to the nearest thousandth.