An archer is able to hit the bull's-eye 74% of the time. If she shoots 11 arrows, what is the probability that she gets exactly 0 bull's-eyes? Assume each shot is independent of the others. Express your answer as a percentage rounded to the nearest hundredth without the % sign.

According to a college survey, 82% of all students work full time. Find the mean for the number of students who work full time in samples of size 115 (rounded to the nearest hundredth).

According to a college survey, 81% of all students work full time. Find the standard deviation for the number of students who work full time in samples of size 77 (rounded to the nearest hundredth).

A survey for brand recognition is done and it is determined that 39% of consumers have heard of Dull Computer Company. A survey of 16 randomly selected consumers is to be conducted. For such groups, would it be significantly low to get 3 consumers who recognize the Dull Computer Company name? Why or why not? Explain your answer using descriptive statistics and/or probability appropriately. If your reasoning requires a z-score, enter the z-score rounded to the nearest hundredth. If your reasoning requires a probability, enter the probability as a decimal rounded to the nearest ten-thousandth.

A naturalist leads whale watch trips every morning in March. The number of whales seen has a Poisson distribution with a mean of 1.82. Find the probability that on a randomly selected trip, the number of whales seen is 5. Express your answer as a percentage rounded to the nearest hundredth.

Suppose the probability of contracting a certain disease is 1 in 62 for a new case in a given year. Approximate the probability that in a town of 262 people there will be at least one new case of the disease next year. Express your answer as a percentage rounded to the nearest hundredth without the % sign.