$P(X=5)$: This is the probability that exactly 5 successes occur in 10 trials. We can use the formula for the binomial probability:
$P(X=k) = C(n, k) * p^k * (1-p)^{n-k}$
where $C(n, k)$ is the number of combinations of $n$ items taken $k$ at a time, $p$ is the
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