[8 points] 10. According to an article in the American Heart Association’s publi

Question

[8 points] 10. According to an article in the American Heart Association’s publication Circulation, 24% of patients who had been hospitalized for an acute myocardial infarction, did not fill their cardiac medication by the seventh day of being discharged. Suppose there are 12 people who have been hospitalized for an acute myocardial infarction. a) State the random variable, X b) Argue that this a binomial experiment Find the probability that c) All filled their cardiac medication d) Seven did not fill their cardiac medication e) None filled their cardiac medication f) At most 3 did not fill their cardiac medication g) At least 4 did not fill their cardiac medication h) Suppose of the next twelve patients discharged, ten did not fill their cardiac medication, would this be unusual? Justify your answer.

Explanation / Answer

A)

X = patients who had been hospitalized for an acute myocardial infarction, did not fill their cardiac medication by the seventh day of being discharged

b)

1)there are total 12 patient,and each patient is a trial,so, fixed number of trials,n=12

2)trials are independent.one patient does not effect the other patient,s cardiac medication filling

3)two outcomes,either fill or not filled the cardiac medication by the seventh day of being discharged.

4) p ,proportion of  patients who had been hospitalized for an acute myocardial infarction, did not fill their cardiac medication by the seventh day of being discharged =0.24

q, proportion of  patients who had been hospitalized for an acute myocardial infarction, fill their cardiac medication by the seventh day of being discharged=0.76

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c) P(all filled ) =P( 0 patient who did not filled ) = P(X=0)

= C(12,0)*(0.24)^0 * (0.76)^12

=(0.76)12

=0.0371

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d)

P(X=7) = C(12,7)* (0.24)^7 * (0.76)^5

for any doubts in above,please do comment.

please note all four subparts can be answered as per chegg answering guidelines.

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