1% of the screws a machine makes are faulty. Using the Poisson distribution, what is the probability that a box of 300 screws has no faulty screw? (Take $e^{-3} = 0.0498$ .)

0.0498

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0.1494

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0.9502

Correct answerYour answer

0.99

Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer A

Correct answer: A

For many trials with a small chance, use Poisson with $\lambda = np = 300 \times 0.01 = 3$ .
$P(X = 0) = e^{-3} = 0.0498$ .

Worth noting

0.99 is the chance that one screw is good, not all 300.

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

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

1% of the screws a machine makes are faulty. Using the Poisson distribution, what is the probability that a box of 300 screws has no faulty screw? (Take e−3=0.0498e^{-3} = 0.0498e−3=0.0498.)