of students who changed majors to statistics after freshman year, 42% were originally math majors, 27% were originally engineering majors, and the remaining 31% were social science majors. At graduation it is found that the prbabilty that one of the former math majors will have succeeded in earning a statistics degree is 0.8; that a former engineering major will have earned a statistics dree is 0.72 and that a former social science major will have earned a statistics degree is 0.54/ what is the probability a random chosen student who switched to statiscs after frehsmna year will have earned a dree in statistics?

at graduation party, you encounter a student who has just earned a statistics degree even though I just changed to statistics after my freshman year. what is the probability that the person was a former enginering major

at a bar laster on, you meet a student who sys "my biggest mistake was switching to statiscsa after my freshman year, but I did not manage to earn the degree. What is the probability the person had been a social science major?