# probability and statistic

Heart failure is due to either natural occurrences (85%) or outside factors (15%). Outside factors are related to induced substances or foreign objects. Natural occurrences are caused by arterial blockage, disease, and infection. Assume that causes of heart failure between individuals are independent.

(a) What is the probability that the 1st patient with heart failure that enters the emergency room has the condition due to outside factors?

(b) What is the probability that 3rd patient with heart failure that enters the emergency room is the first one due to outside factors?

(c) What is the mean number of heart failure patients with the condition due to natural causes that enter the emergency room until the 1st patient with heart failure from outside factors?

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