The following joint probability distribution summarize the doctoral degrees conferred in the social science and psychology by gender during one year.                                      Field                        Social Science                         Psychology                                                 F1                                   F2                            P(Gi) Gender Male.           0.300                                 0.119                         0.419 G1 Female       0.282                                   0.298                         0.581 G2 P(Fj)           0.583                                   0.418                        1.000 I need  a. Find P (G), P(F1), and P(G1 & F1) b. Use the special multiplicacion rule to determine whether events G1 and F1 are independent

Question

 The following joint probability distribution summarize the doctoral degrees conferred in the social science and psychology by gender during one year.

                                     Field

                       Social Science                         Psychology                        

                        F1                                   F2                            P(Gi)

Gender

Male.           0.300                                 0.119                         0.419

G1

Female       0.282                                   0.298                         0.581

G2

P(Fj)           0.583                                   0.418                        1.000

I need 

a. Find P (G), P(F1), and P(G1 & F1)

b. Use the special multiplicacion rule to determine whether events G1 and F1 are independent

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