The student health center at a university treats an average of seven cases of mononucleosis per day during the week of final examinations.
a. Using the appropriate formula, find the probability that on a given day during the finals week exactly four cases of mononucleosis will be treated at this health center.
b. Using the appropriate probabilities table from Appendix C, find the probability that on a given day during the finals week the number of cases of mononucleosis treated at this health center will be
i. At least 7
ii. At most 3
iii. 2 to 5