A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment. n=10,p=0.8,x=8

Answer:

Given:

Probability of success $(p) = 0.8$

Sample size $(n) = 10$

Solution:

The probability that x is equal to 8:

$P (x = 8) = (\binom{n}{x}) p^{x} (1 - p)^{n - x} = (\binom{10}{8}) {0.8}^{8} (1 - 0.8)^{10 - 8} = 0.3020$

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