2. [8 points] In Spring 2021, the Pew Research Center estimated that 8% of American adults would say that the United States was doing a "very good" job dealing with global climate change. Suppose that figure is still correct today. We take a random sample of 160 American adults.

a. [1 point] What is the probability that exactly fifteen of those adults in our sample would say that the United States was doing a "very good" job dealing with global climate change?

b. [1 point] What is the probability that less than ten of the adults in our sample would say that the United States was doing a "very good" job dealing with global climate change?

c. [1 point] What is the probability that at least 5% of the adults in our sample would say that the United States was doing a "very good" job dealing with global climate change?

d. [1 point] Consider the event "More than half of the adults in our sample would say that the United States was doing a "very good" job dealing with global climate change." Describe in words the complement of that event. Do not calculate a probability.

e. [2 points] What is the expected value and the standard deviation of the number of people in our sample that would say that the United States was doing a "very good" job dealing with global climate change? Round your answers to the nearest tenth, if necessary.

f. [2 points] If nineteen people in the sample would say that the United States was doing a "very good" job dealing with global climate change, is that an unusually high number of people? Explain.