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