Question: The U.S. National Science Foundation publishes data on doctoral degrees conferred in the document Science and Engineering Doctorate Awards. The following joint probability distribution summarizes

The U.S. National Science Foundation publishes data on doctoral degrees conferred in the document Science and Engineering Doctorate Awards. The following joint probability distribution summarizes the doctoral degrees conferred in the social sciences and psychology by gender during one year.

a. Find P(G1), P(F1), and P(G1& F1).
b. Use the special multiplication rule to determine whether events G1 and F1 are independent.

Field Social science Psychology F2 P(Gi Male 0.119 0.419 Female 0.282 0.298 0.581 P(Fi) 0.582 0.418

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