Question

1. A and B are independent events, and P(A) = 0.5 and P(B) = 0.8. Find...

1. A and B are independent events, and P(A) = 0.5 and P(B) = 0.8.

Find P(A and B)

2. Suppose that P(A) = 0.3, P(B) = 0.4, and
P(A and B) = 0.12.

a. What is P(A|B)?
b. What is P(B|A)?
c. Are A and B independent

3) Describe in your own words why the following statements are
correct.

a. Two events cannot be independent if they are already
known to be mutually exclusive
b. Two events cannot be mutually exclusive if they are already known to be independent

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