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7. Suppose that 8% of all people that experience a heart attack will die during hospitalization....

7. Suppose that 8% of all people that experience a heart attack will die during hospitalization.

(a) Consider a random sample of 30 people who experienced a heart attack. What is the probability that exactly four of them will die during hospitalization? To answer this question, first define an appropriate random variable X. Identify the probability distribution of X including the parameter values.

(b) Is the probability distribution you used in part (a) the true probability distribution of X? If not, is your answer in part (a) still approximately correct? Explain.

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