Mathematics, 19.01.2021 19:40 edjiejwi

The accompanying table categorizing each student in a sample according to gender and eye color appeared in the article "Does Eye Color Depend on Gender? It Might Depend on Who or How You Ask" Suppose that one of these 2026 students are randomly selected. Let F denote the event that the selected individual is a female, and A, B, C, and D represent the events that he or she has blue, brown, green, and hazel eyes, respectively.
Eye colour
Gender Blue Brown Green Hazel Total
Male 370 352 198 187 1107
Female 359 290 110 160 919
Total 729 642 308 347 2026
A. Calculate both P(F) and P(C).
B. Calculate P(F C). Are the events F and C independent? Why or why not?
C. If the selected individual has green eyes, what is the probability that he or she is a female?
D. If the selected individual is female, what is the probability that she has green eyes?

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