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Assume that each of the n trials is independent and that p is the probability of success on a given trial. Use the binomial probability formula to find P(x).

n=15, x=2, p=5
P(x)=

Respuesta :

Using the binomial distribution, it is found that P(X = 2) = 0.0032.

What is the binomial distribution formula?

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

The values of the parameters are given as follows:

n = 15, x = 2, p = 0.5.

Hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{15,2}.(0.5)^{2}.(0.5)^{13} = 0.0032[/tex]

More can be learned about the binomial distribution at https://brainly.com/question/24863377

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