Spring 2021 Math 227 Test 2 Name: Show your work clearly, neatly, and understandably. Make sure you use proper notation. Also, round the decimal for probability to 5-decimal place and round the percentage to 3-decimal. There are 105 points available. 1. (14:4,4.6) In a certain adult community, 32% are not-vaccinated, 24% are partially-vaccinated, and the rest are fully-vaccinated. . Find the probability that at least half of 40 c. Of 60 adults, find the "usual" interval for adults are NOT-vaccinated. the number of partially-vaccinated adults. b. Find the probability that any of 10 adults is fully-vaccinated. 2. (6:3,3) SuperBall Lottery draws 4 "regular" numbers from 1 to 40 AND 3 "superball" numbers from 1 to 25 numbers. (Just use the notation, do not compute into decimal). a. Find the probability to correctly select only 3 regular number only (and no correct "superball"). b. Find the probability to correctly select 2 regular numbers and 1 superball