Use this information for problems 7 and 8: In a certain course, the proportion of students who do not visit their professor during office hours has the beta distribution with a = 5 and ẞ = 3. 7. What is the probability that at least 70% of the students will not visit their professor during the office hours? 8. What is the probability that at most 60% of the students will not visit their professor during the office hours?

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