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Consider a binomial experiment with n = 18 and p = 0.30
compute f(9)

User Kulu Limpa
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In a binomial experiment with n=18 and p=0.30, the probability of getting exactly 9 successes is approximately 3.86%.

f(x) is the probability function of the binomial distribution with parameters n and p. It gives the probability of getting exactly x successes in n independent Bernoulli trials with probability of success p.

Given n = 18 and p = 0.30, we want to compute f(9), which is the probability of getting exactly 9 successes in 18 trials. We can use the binomial probability formula to calculate this directly:

f(x) = (nCx) * p^x * (1-p)^(n-x)

Plugging in n = 18, p = 0.30, and x = 9, we get:

f(9) = (18C9) * 0.30^9 * (1-0.30)^(18-9)

f(9) ≈ 0.0386

Therefore, the probability of getting exactly 9 successes in 18 trials is approximately 0.0386 or 3.86%.

User Paval
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