This is the first question and I know how to solve this one, butI am confused by the second one (The admissions office of a small,selective liberal-arts college will only offer admission toapplicants who have a certain mix of accomplishments, including acombined SAT score of 1,300 or more. Based on past records, thehead of admissions feels that the probability is 0.58 that anadmitted applicant will come to the college. If 500 applicants areadmitted, what is the probability that 310 or more will come? Notethat “310 or more†means the set of values {310, 311, 312, …, 500}.)
The following is the second question
Consider the admissions office in the previous problem. Based onfinancial considerations, the college would like a class size of310 or more. Find the smallest n, number of people to admit, forwhich the probability of getting 310 or more to come to the collegeis at least 0.95.
