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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