cdhhen
contestada

Find the probability of at least one
failure in five trials of a binomial
experiment in which the probability of
success is 30%.
Round to the nearest tenth of a
percent.

Find the probability of at least one failure in five trials of a binomial experiment in which the probability of success is 30 Round to the nearest tenth of a p class=

Respuesta :

LammettHash

Out of 5 trials, "at least one failure" = " at most four successess", so the probability you're looking for is

[tex]P(X\le 4) = \displaystyle\sum_{x=0}^4 \binom5x 0.30^x (1-0.30)^{5-x} \approx 0.99757 \approx \boxed{99.8\%}[/tex]

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