In a recent assessment test given by the Department of Education, approximately 55% of high school seniors did not show even “basic knowledge” of American history. In fact, a substantial number of them didn’t know which side won the American Civil War. If this 55% figure is accurate, how likely is it that a sample of 20 students will produce?
a. Exactly 10 students who lack basic knowledge of American history?
b. No more than five students who lack basic knowledge of American history?
c. Between 13 and 17 students who lack basic knowledge of American?
d. For the random variable “number of students in a sample of 20 who lack basic knowledge of American history,” compute the expected value and the standard deviation.