# 5 pts given that the vaccine is effective for a

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(5 pts) Given that the vaccine is effective for a randomly chosen person, what is the probability thatthe person is genotypeA1?(c)(5 pts) 100 subjects are chosen for trials.What is the expected number of people for whom thevaccine is effective?(d)(5 pts) 100 subjects are chosen for trials. If they are tested and 65 are found to have genotypeA2,what is the expected number of people for whom the vaccine is effective?(a): .6900, (b) .3913, (c) 69, (d) 70.50
Questions 3: Continuous UniformsSuppose thatU1andU2are independent uniform random variables on [0,1].(a)(4 pts) FindP(U21.3).(b)(8 pts) FindP(U21+U2.7)(c)(8 pts) FindP(U21+U2.7|U1.5)(a) .5477, (b) .3904, (c) .6167
Question 4: All I want is a little acceptanceUNC gets about 20000 applications a year, and admits 7000 students. The accepted students all receivedan email saying “Congratulations again on your admission to the university” but through a mistake 2700students who were not admitted also received this email.(a)(5 pts) What is the chance that a student chosen uniformly from the 20000 applicants is admitted?(b)(5 pts) What is the chance that a student chosen uniformly from the 20000 applicants is admittedgiven that they received the email?(c)