  # 1. The notation P(F|E) means the probability of event- given event2. If P(E)0.6 and P(E|F) = 0.34, are events E and Findependent?3. Suppose that E and F are two events and thatP(E and F) 0.6 and P(E) = 0.8. What is P(F|E)?4. Suppose that E and F are two events and thatP(E and F) 0.21 and P(E) = 0.4. What is P(F|E)?5. Suppose that E and F are two events and thatN(E and F) 420 and N(E) 740. What is P(F|E)?6. Suppose that E and F are two events and thatN(E and F) 380 and N(E) = 925. What is P(F|E)?7. Suppose that E and F are two events and that P(E) = 0.8and P(F E) 0.4. What is P(E and F )?8. Suppose that E and F are two events and that P(E) = 0.4and P(FE) 0.6. What is P(E and F)?

Question

Thank you help_outlineImage Transcriptionclose1. The notation P(F|E) means the probability of event - given event 2. If P(E)0.6 and P(E|F) = 0.34, are events E and F independent? 3. Suppose that E and F are two events and that P(E and F) 0.6 and P(E) = 0.8. What is P(F|E)? 4. Suppose that E and F are two events and that P(E and F) 0.21 and P(E) = 0.4. What is P(F|E)? 5. Suppose that E and F are two events and that N(E and F) 420 and N(E) 740. What is P(F|E)? 6. Suppose that E and F are two events and that N(E and F) 380 and N(E) = 925. What is P(F|E)? 7. Suppose that E and F are two events and that P(E) = 0.8 and P(F E) 0.4. What is P(E and F )? 8. Suppose that E and F are two events and that P(E) = 0.4 and P(FE) 0.6. What is P(E and F)? fullscreen
check_circleExpert Solution
Step 1

Hi, as per company guidelines, I am required to solve just the first 3 subparts but i'll do as many as I can to help you.

Part 1)

The notation P(F|E) means the probabilty of event F given event E

Step 2

Part 2)

If P(A|B) = P(A), then events A and B are said to be independent.

So for events E and F to be independent, P(E|F) = P(E)

but here P(E|F)= 0.34 and P(E)= 0.6

As P(E|F) is not = P(E), events E and F are not independent.

Step 3

Part 3)

P(F and E) is the same as P(E and F)

P(F|E) = P(F and E)/P(E) &n...

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