MathStatisticsQ&A LibraryThe 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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