Suppose that3%of the 2 million high school students who take the SAT each year receive special accommodations because of documented disabilities. Consider a random sample of35students who have recently taken the test. (Round your probabilities to three decimal places.)

(a) What is the probability that the number among the35who received a special accommodation is within 2 standard deviations of the number you would expect to be accommodated?

(b) Suppose that a student who does not receive a special accommodation is allowed 3 hours for the exam, whereas an accommodated student is allowed 4.5 hours. What would you expect the average time allowed the35selected students to be? (Round your answer to two decimal places.)