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Using the hypergeometric distribution, it is found that the probability is 0.845 = 84.5%.
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- The patients are chosen from the sample without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes is given by:
The parameters are:
- x is the number of successes.
- N is the size of the population.
- n is the size of the sample.
- k is the total number of desired outcomes.
Combination formula:
is the number of different combinations of x objects from a set of n elements, given as:
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- 56074 patients, thus
- Sample of 40, thus,
- 235 left against medical advice, thus,
.
The probability that none left against medical advice is P(X = 0), so:
The probability is 0.845 = 84.5%.
A similar problem is given at brainly.com/question/24008577