Answer all.

1) Suppose there are 1000 students living in a certain dorm on Busch campus, of whom 600 are CS majors, 200 are Stat majors, 100 are Math majors, 90 are CS & Stat double majors 50 are CS & Math double majors 60 are Stat & Math double majors, and 20 are CS & Stat & Math triple majors (these are also considered double majors). What is the probability that a randomly selected student living in this dorm is... a) ...majoring in at least one of CS, Stat or Math? b) ...majoring in Math or double majoring in CS & Stat (Hint: words can play the role of parentheses)(1 point) In a large population the probability of someone being stricken with the euphoric mental state "StatsOnMyMind-itis" is 0.122. The probability of a person with StatsOnMyMind-itis of getting into a stats-related conversation is 0.88. The probability of a person that doesn't have StatsOnMyMind-itis of getting into a stats-related conversation is 0.839. (a) What is the probability of having StatsOnMyMind-itis and ending up in a stats-related conversation? (b) What is the probability of having StatsOnMyMind-itis and not ending up in a stats-related conversation? (c) What is the probability of not having StatsOnMyMind-itis and ending up in a stats-related conversation? (d) What is the probability of not having StatsOnMyMind-itis and not ending up in a stats-related conversation? (e) What is the probability of having StatsOnMyMind-itis given that you just ended up in a stats-related conversation? (f) What is the probability of not having StatsOnMyMind-itis given that you just ended up in a stats-related conversation? (g) What is the probability of having StatsOnMyMind-itis given that you have not ended up in a stats-related conversation? (h) What is the probability of not having StatsOnMyMind-itis given that you have not ended up in a stats-related conversation