1. According to a recent estimate, about 27% of Americans plan on taking a COVID-19 vaccine within a month of when it's available (including people who said they'd take it "immediately"). Consider random samples of 100 Americans, asked when they plan on taking the vaccine.

A.Find the mean and standard deviation of the distribution of sample proportions.

B, Will the distribution of sample proportions of random samples of 100 Americans be roughly normal? Why or why not?

C. Sketch the distribution of sample proportions of samples of 100 Americans.

D. If I pick 100 Americans at random and 38 of them say they plan on taking the vaccine within a month, should I be surprised? Why or why not?