Unknown to a medical researcher, 6 out of 25 patients have a heart problem that will result in death if they receive the test dr ug. 8 patients are randomly selected to receive the drug and the rest receive a placebo. What is the probability that exactly 6 patients will die? Express your answer as a fraction or a decimal number rounded to four decimal places.
1 answer:
Using the hypergeometric distribution, it is found that there is a 0.0002 = 0.02% probability that exactly 6 patients will die.
<h3>What is the hypergeometric distribution formula?</h3>
The formula is:
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.
The values of the parameters for this problem are:
N = 25, k = 6, n = 8.
The probability that exactly 6 patients will die is P(X = 6) , hence:
0.0002 = 0.02% probability that exactly 6 patients will die.
More can be learned about the hypergeometric distribution at brainly.com/question/24826394
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