Let A and B be events with P(A) = 0.4, P (B) = 0.1, and P(A or B) = 0.5. (a) Compute P(A and B). (b) Are A and B mutually exclusive? Explain. (c) Are A and B independent? Explain. Part 1 of 3 (a) Compute P(A and B). and B) 0 PA a 1 X $

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A: Given that,P(E) = 0.41P(F) = 0.51E and F are mutually exclusive events.

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A: P(Ac or Bc)=P(Ac)+P(Bc)-P(Ac∩Bc)

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Q: c) Assume that E and F are independent events. Show that Ē and F are independent events.

A: c) The events E and F are independent.

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Q: If event A and event B are mutually exclusive, and P(A) = 0.5 and P(B) = 0.3, find P(A and B).

A: From given data we have : P(A)=0.5 P(B)=0.3

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