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A scientific trial into the efficacy a new COVID-19 vaccine was carried out. 120 Patients had comorbidity and 90 patients were in good health

A scientific trial into the efficacy a new COVID-19 vaccine was carried out. 120 Patients had comorbidity and 90 patients were in good health with no medical history. Out of those people, 50 females and 30 males had comorbidity. Given below is a contingency table with the given information filled in. Comorbidity Good health Total 4.1. 4.2 4.3 4.4. 4.5 Female 50 ? 120 Male 30 ? 90 Total ? ? ? Fill in the missing number in the above table If a patient is chosen randomly what is the probability that: He/ She is in good health. She is in good health and she is female? She is in good health given she is female Using calculation show whether or not health status is independent of gender? Explain. (5) (2) (2) (3) (8)

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