If we use p to denote the probability of success, and, therefore, 1 − p is the probability of ""
Question
If we use p to denote the probability of success, and, therefore, 1 − p is the probability of ""
Solution
failure, then the probability distribution of a binomial random variable is given by the formula:
P(X = k) = C(n, k) * (p^k) * ((1 - p)^(n - k))
Where:
- P(X = k) is the probability of k successes in n trials
- C(n, k) is the combination of n items taken k at a time
- p is the probability of success
- 1 - p is the probability of failure
- n is the number of trials
- k is the number of successes
This formula gives us the probability of getting exactly k successes in n trials.
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