A March 29, 2019, Washington Post article reported that (roughly) 5% of all students taking the ACT were granted extra time. Assume that 5% figure is exact, and consider a random sample of 25 students who have recently taken the ACT.

a. What is the probability that exactly 1 was granted extra time?
b. What is the probability that at least 1 was granted extra time?
c. What is the probability that at least 2 were granted extra time?
d. What is the probability that the number among the 25 who were granted extra time is within 2 standard deviations of the number you would expect?
e. Suppose that a student who does not receive extra time is allowed 3 h for the exam, whereas an accommodated student is allowed 4.5 h. What would you expect the average time allowed the 25 selected students to be?