Let A and B be events with =PA0.7, =PB0.3, and =PA or B0.9. (a) Compute PA and B. (b) Are A and B mutually exclusive? Explain. (c) Are A and B independent? Explain.

a)

And if we solve for we got:

b) False

The reason is because we don't satisfy the following relationship:

We have that:

c) False

In order to satisfy independence we need to have the following condition:

And for this case we don't satisfy this relation since:

Step-by-step explanation:

For this case we have the following probabilities given:

Part a

We want to calculate the following probability:

And we can use the total probability rule given by:

And if we solve for we got:

Part b

False

The reason is because we don't satisfy the following relationship:

We have that:

Part c

False

In order to satisfy independence we need to have the following condition:

And for this case we don't satisfy this relation since:

step-by-step explanation: