Can you answer each question with easy to follow explanation?

W7 Assignment: True or False

True or False

1. True or false. If E and F are mutually exclusive, and E and G are mutually exclusive, then F and G are mutually exclusive.

2. True or false. Suppose it is determined that the probability of obtaining heads in a coin- tossing experiment using a biased coin is 0.51, then the probability of obtaining tails in a toss of the coin is 0.49.

3. True or false. Suppose S = {s1, s2, …, sn} is a finite sample space with n outcomes. Then 0 < P(s1) + P(s2) + … + P(sn) < 1.

4. True or false. P(E) + P(Ec) = 1.

5. True or false. P(Ec  ∪  Fc) = 1 - P(E  ∩  F)

6. True or false. If A and B are events in an experiment and P(B)  ≠ 0, then .

7. True or false. .