Assume that a study of 500 randomly selected airplane routes showed that 482 arrived on time. Select the correct interpretation of the probability of an airplane arriving late. Interpret an event as significant if its probability is less than or equal to 0.05.

Assume that a procedure yields a binomial distribution with a trial repeated $$n=30$$ times. Use the binomial probability formula to find the probability of $$x=5$$ successes given the probability $$p=\frac{1}{5}$$ of success on a single trial. Round to three decimal places.

Assume that when human resource managers are randomly selected, 41% say job applicants should follow up within two weeks. If 11 human resource managers are randomly selected, find the probability that fewer than 3 of them say job applicants should follow up within two weeks.

A statistics class consists of 5 males and 7 females. Two of those students are randomly selected without replacement. What is the probability that both of the selected students are females? Choose the correct answer below.

Of 1232 people who came into a blood bank to give blood, 397 people had high blood pressure. Estimate the probability that the next person who comes in to give blood will have high blood pressure. Round to three decimal places as needed.

Assume that hybridization experiments are conducted with peas having the property that for offspring, there is a 0.75 probability that a pea has green pods. Assume that the offspring peas are randomly selected in groups of 36. Find the mean and standard deviation rounded to one decimal place.

Assume that hybridization experiments are conducted with peas having the property that for offspring, there is a 0.75 probability that a pea has green pods. Assume that the offspring peas are randomly selected in groups of 36. Use the range rule of thumb to find the cutoff value separating results that are significantly low for the number of peas with green pods, rounded to one decimal place.

The table shows the probability distribution for x, the number that shows up when a loaded die is rolled. Find the mean of x rounded to two decimal places. Data table: x values 1, 2, 3, 4, 5, 6 with corresponding P(x) values 0.14, 0.16, 0.12, 0.14, 0.13, 0.31.

A company manufactures batteries in batches of 6 and there is a 3% rate of defects. Find the mean number of defects per batch. Round to the nearest tenth as needed.