In $n$ Bernoulli trials with probability of success $p$ and $q = 1 - p$ , which expression is the probability of at least one success?

1 - q^{n}

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np

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1 - p^{n}

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nq^{n - 1}p

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Show the answer and explanation

CorrectNot quiteAnswer A

Correct answer: A

Worth noting

$np$ is the mean, the expected number of successes, and can even exceed 1.

Ten questions from Binomial & Poisson Distributions, at your own pace.

Ten questions from Binomial & Poisson Distributions, at your own pace.

In nnn Bernoulli trials with probability of success ppp and q=1−pq = 1 - pq=1−p, which expression is the probability of at least one success?