The College Board reports that 2% of the 2 million high school students who take the SAT each year receive special accommodations because of documented disabilities (Los Angeles Times, July 16, 2002). Consider a random sample of 25 students who have recently taken the test. Let X denote the number of students in the sample who receive a special accommodation.
d. What is the probability that less than 3 received a special accommodation?
e. Find the expected number of students in the sample that will receive a special accommodation.
f. Find the standard deviation of the number of students in the sample that will receive a special accommodation.