1) Each day there is a 65% chance that Sam will study. What is the probability that Sam will study exactly 3 times over the next 5 days? Round to the nearest hundredth.
2) The scores on an exam are normally distributed with mean 74 and standard deviation 9 points. What is the probability a random student scored more than 80 on the exam?
3) At a college, 85% of students vote in national elections. In a class of 40 students, what is the probability that fewer than 75% of students vote in the upcoming election? Assume the students in the classroom are a random sample of the population, and round to the nearest hundredth.