Question: Refer to the image provided A contingency table for injuries in the United States by circumstance (column variable) and gender (row variable) is given as

Refer to the image provided

A contingency table for injuries in the United States by circumstance (column variable) and gender (row variable) is given as follows. Note that frequencies are in millions. Circumstance Work (C1) Home Others Total (C2) (C3) Gender Male (R1) 8.0 9.8 17.8 2 Female (R2) 1.3 2 12.9 25.8 Total 9.3 2 30.7 61.4 (a) Complete the contingency table. (3 marks) (b) Find the probability that an injured person was hurt at work, that is, P(C1). (2 marks) (c) Find the probability that an injured person was hurt at work and she was a female, that is, P(C, & R2). (2 marks) (d) Find the probability that a female injured person was hurt at work, that is, P(C1\\R2). (3 marks) (e) Are events C, and R2 independent? Explain your answer. (2 marks) (f) Are events C, and R2 mutually exclusive? Explain your answer. (2 marks) (g) Is the event that an injured person is male independent of the event that an injured person was hurt at home? Explain by calculation. (4 marks)

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