Answer:
0.0367 = 3.67% probability that exactly 6 patients will die
Step-by-step explanation:
The patients are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this question, we have that:
20 patients means that
Sample of 8 means that
9 have the heart problem, so
What is the probability that exactly 6 patients will die?
This is P(X = 6).
0.0367 = 3.67% probability that exactly 6 patients will die