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It was found that 60% of American victims of health care fraud are senior citizens.
If 10 victims are randomly selected, find the probability that exactly three are
senior citizens.


Sagot :

Final answer:

To find the probability of exactly three out of ten randomly selected health care fraud victims being senior citizens, use the binomial probability formula.


Explanation:

To find the probability that exactly three out of ten randomly selected victims are senior citizens, we use the binomial probability formula:

P(X = k) = (n choose k) p^k (1-p)^(n-k)

where n is the total number of trials (10), p is the probability of success (0.6 for senior citizens), and k is the specific number of successes (3). Calculating this will give you the probability of exactly three out of ten victims being senior citizens.


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