Respuesta :
Using the binomial distribution, it is found that:
- The mean of X is of 0.72.
- The standard deviation of X is of 0.81.
What is the binomial probability distribution?
It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.
The expected value of the binomial distribution is:
E(X) = np
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
For this problem, the parameters are given as follows:
n = 8, p = 0.09.
Hence the mean and the standard deviation are, respectively:
- E(X) = np = 8 x 0.09 = 0.72.
- [tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{8 \times 0.09 \times 0.91} = 0.81[/tex]
More can be learned about the binomial distribution at https://brainly.com/question/24863377
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