Q1. Let A, B, C be three arbitrary events on the sample space (Q, S).
1. What is the event that only A occurs?
2. What is the event that at least two of A, B, C occur?
3. What is the event that both A and C, but not B, occur?
4. What is the event that at most one of A, B, C occurs?
Q2. If 2n boys are divided into equal subgroups, find the probability that the two tallest boys will be:
a) In different subgroups
b) In the same subgroup
Q3. Let X be an RV. Is [X| and Ln(X)] also an RV? Show your work.