In a​ small town in Illinois, there is a 0.80 probability chance that a ...

  

22. In a​ small town in Illinois, there is a 0.80 probability chance that a randomly selected person of the population has brown eyes. Assume 13 people are randomly selected. Show your work to receive partial credit.

22A. Find the mean and standard deviation in the number of people with brown eyes from the randomly selected group of 13.

22B. Find the probability that all of the selected people have brown eyes.

22C. Find the probability that exactly 12 of the selected people have brown eyes

22D. Find the probability that the number of selected people that have brown eyes is 11 or more.

22E. Using a critical value of α = 0.05, is 13 an unusually high number for those with brown​ eyes from a randomly selected group of 13 people? Why or why not?