a. Find the probability of a fund having a high one-year return, the probability of a fund having a high five-year return, and the probability of a fund having both a high one year return and a high five-year return.
b. What is the probability that a fund had a high one-year return or a high five-year return or both?
c. What is the probability that a fund had neither a high one-year return nor a high five year return?
9. A pharmaceutical company conducted a study to evaluate the effect of an allergy relief medicine: 250 patients with symptoms that included itchy eyes and a skin rash received the new drug. The results of the study are as follows: 90 of the patients treated experienced eye relief, 135 had their skin rash clear up, and 45 experienced relief of both itchy eyes and the skin rash. What is the probability that a patient who takes the drug will experience relief of at least one of the two symptoms?
10. A study of 100 students who had been awarded university scholarships showed that 40 worked part-time jobs, 25 made the dean's list the previous semester, and 15 both worked a part-time job and made the dean's list. What was the probability that a student worked a part-time job or made the dean's list?