Please help with question D and E Right and left side

Let E and F be events such that P(E) = 0.7, P(F) = 0.54, P(F | E) = 0.7. a. Find P(E and F). b. Find P(E or F). c. Find P(E | F). 0.9074J d. Are E and F independent? Explain. To decide, we check the equation: P(E) = P(E | F) v V . Compute the left side and the right side of the equation above: Left side C] and Right side C] Conclusion: E and F are not independent V '/ . e. Are E and F mutually exclusive. Explain. To decide, we check the equation: P(E and F) = 0 v V . Compute the left side and the right side of the equation above: Left side C] and Right side C] Conclusion: E and F are not mutually exclusive V '/ . Let S and T be events such that P(S) = 0.6, P(T) = 0.33, P(S or T) = 0.732. a. Find P(S and T). 0.198 b. Find P(S | T). 0.6 c. Find P(T | S). 0.33 d. Are S and T independent? Explain. To decide, we check the equation: P(S and T) = 0 v x Compute the left side and the right side of the equation above: Left side 0.198 x and Right side |0.198 > Conclusion: S and T are independent v e. Are S and T mutually exclusive. Explain. To decide, we check the equation: |P(S or T) = 0 v X . Compute the left side and the right side of the equation above: Left side 0.732 x and Right side |0.93 x Conclusion: S and T are not mutually exclusive v V