Determine whether the given procedure results in a binomial distribution. If not, state the reason why. Rolling a single "loaded" die 15 times, keeping track of the numbers that are rolled.

Determine whether the given procedure results in a binomial distribution. If not, state the reason why. Choosing 5 people (without replacement) from a group of 58 people, of which 15 are women, keeping track of the number of men chosen.

Find the indicated probability. Round to three decimal places. A test consists of 10 true/false questions. To pass the test a student must answer at least 6 questions correctly. If a student guesses on each question, what is the probability that the student will pass the test?

Find the indicated probability. Round to three decimal places. Find the probability of at least 2 girls in 7 births. Assume that male and female births are equally likely and that the births are independent events.

Find the indicated probability. The brand name of a certain chain of coffee shops has a 54% recognition rate in the town of Coffleton. An executive from the company wants to verify the recognition rate as the company is interested in opening a coffee shop in the town. He selects a random sample of 10 Coffleton residents.  Find the probability that exactly 4 of the 10 Coffleton residents recognize the brand name.

Find the indicated probability. Round to three decimal places. The participants in a television quiz show are picked from a large pool of applicants with approximately equal numbers of men and women. Among the last 11 participants there have been only 2 women. If participants are picked randomly, what is the probability of getting 2 or fewer women when 11 people are picked?

Find the indicated probability. In a survey of 300 college graduates, 53% reported that they entered a profession closely related to their college major.  If 9 of those survey subjects are randomly selected without replacement for a follow-up survey, what is the probability that 3 of them entered a profession closely related to their college major?

Find the indicated probability. An archer is able to hit the bull's-eye 53% of the time. If she shoots 10 arrows, what is the probability that she gets exactly 4 bull's-eyes? Assume each shot is independent of the others

Find the mean, μ, for the binomial distribution which has the stated values of n and p. Round answer to the nearest tenth. n = 44; p = 0.2         

Find the standard deviation, σ, for the binomial distribution which has the stated values of n and p. Round your answer to the nearest hundredth. n = 38; p = 3/5

According to a college survey, 22% of all students work full time. Find the standard deviation for the number of students who work full time in samples of size 16.

Use the given values of n and p to find the minimum usual value μ - 2σ and the maximum usual value μ + 2σ. Round your answer to the nearest hundredth unless otherwise noted. n = 1056, p = 0.80