Question

In: Statistics and Probability

According to an article in the American Heart Association's publication Circulation, 24% of patients who had...

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 15 people who have been hospitalized for an acute myocardial infarction.

a) State the random variable. Select an answer

b) List the given numbers with correct symbols. ? = 15 ? = 0.24

c) Explain why this is a binomial experiment. Check all that apply.

There are only two outcomes for each patient who had been hospitalized for an acute myocardial infarction

p = 24% remains constant from one randomly selected patient who had been hospitalized for an acute myocardial infarction to another

There is not a fixed number of patients who had been hospitalized for an acute myocardial infarction

Whether or not one randomly selected patient who had been hospitalized for an acute myocardial infarction did not fill their cardiac medication by the seventh day of being discharged will not affect whether or not another randomly selected patient who had been hospitalized for an acute myocardial infarction did not fill their cardiac medication by the seventh day of being discharged

There are more than two outcomes for each patient who had been hospitalized for an acute myocardial infarction

There are a fixed number of patients who had been hospitalized for an acute myocardial infarction, 15

Whether or not one randomly selected patient who had been hospitalized for an acute myocardial infarction did not fill their cardiac medication by the seventh day of being discharged will affect whether or not another randomly selected patient who had been hospitalized for an acute myocardial infarction did not fill their cardiac medication by the seventh day of being discharged Find the probability, to 4 decimal places: It is possible when rounded that a probability is 0.0000

d) exactly none did not fill their cardiac medication by the seventh day of being discharged.

e) exactly 12 did not fill their cardiac medication by the seventh day of being discharged.

f) at least 9 did not fill their cardiac medication by the seventh day of being discharged.

g) at most 9 did not fill their cardiac medication by the seventh day of being discharged.

h) at least 10 did not fill their cardiac medication by the seventh day of being discharged.

i) Is 10 an unusually high number of patients who had been hospitalized for an acute myocardial infarction that did not fill their cardiac medication by the seventh day of being discharged in a sample of 15 patients who had been hospitalized for an acute myocardial infarction? Select an answer

Solutions

Expert Solution

(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) n = 15, p = 0.24

(c) There are only two outcomes for each patient who had been hospitalized for an acute myocardial infarction

p = 24% remains constant from one randomly selected patient who had been hospitalized for an acute myocardial infarction to another

Whether or not one randomly selected patient who had been hospitalized for an acute myocardial infarction did not fill their cardiac medication by the seventh day of being discharged will not affect whether or not another randomly selected patient who had been hospitalized for an acute myocardial infarction did not fill their cardiac medication by the seventh day of being discharged

There are a fixed number of patients who had been hospitalized for an acute myocardial infarction, 15

(d) 0.0163

(e) 0.0000

(f) 0.0031

(g) 0.9994

(h) 0.0006

(i) No


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