1. Suppose a random sample of size 16 is going to be taken from a population with variance of 5.
a. What is (approximately) the probability that the sample variance Sx2 will be less than 3?
b. There is a 10% chance the sample variance Sx2 will be greater than ___.
2. Suppose there are two types of Penn State Sports fans: Rabid (R), and Casual (R'). These fans either view a big game Live (L) or at Home (L'). Suppose 15% of Penn State fans are both Casual and watch the games at Home. If a fan watches at Home, the probability that he/she is Casual is 80%. Finally, suppose 30% of fans are Rabid.
a. What is the probability of any fan watching the game at Home?
b. If a fan watches the game Live, what is the probability that they are Rabid?
3. Suppose there are two events, A and B. A and B are mutually exclusive. P(A)=.4, P(B)=.5. What is P(A'|B)?