labarbie2772 labarbie2772
  • 15-04-2022
  • Mathematics
contestada

in a binomial experiemnt the probability of success is 0.16. what is the probability of two successes in seven trials

Respuesta :

jasongggg
jasongggg jasongggg
  • 15-04-2022

Answer:

0.2248307402

Step-by-step explanation:

Let 'success', p = 0.16,

and 'failure', q = 1 - 0.16 = 0.84

and the number of trials, n = 7

r = 2

[tex]P(X = r) = \binom{n}{r} {p}^{r} {q}^{n - r} \\ P(X = 2) = \binom{7}{2} {(0.16)}^{2} {0.84}^{5 - 2} \\ = 0.2248307402[/tex]

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