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19-10-2022
Mathematics

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hospital records show that for patients suffering from a certain disease, 40% die from it (regardless of the patient). assume patients are independent, and that 8 patients are observed. (a) what is the probability that exactly 4 patients recover? (b) what is the probability that between 1 and 3 patients die (inclusive)? (c) what is the expected number of patients who die out of the 8? (d) what is the the standard deviation of the number of patients who die out of the 8? (e) what is the probability that at least 3 patients die?

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