Suppose the events B1 and B2 are mutually exclusive and complementary events such that P(B1) = 0.7 and P(B2) = 0.3. Suppose there is another event, C, and the P(C I B1) = 0.15 and P(C I B2) = 0.75.

1. Find P(B1C).

2. Find P(B2C).

3. Find P(B1 I C).

4. Find P(B2 I C).

5. Find P(C).