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Binomial & Poisson Distributions · Question 52 of 68

What is the probability that a box of bulbs has no defective bulb?

Question 52

EasyOriginal question

A factory finds that 5% of its LED bulbs are defective. They are packed in boxes of 10, and the number of defective bulbs in a box is taken to follow a Poisson distribution. (Take e−0.5=0.6065e^{-0.5} = 0.6065.)

What is the probability that a box of bulbs has no defective bulb?

Options for question 52

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. P(X=0)=e−λ=e−0.5P(X = 0) = e^{-\lambda} = e^{-0.5}.

  2. 0.60650.6065.

Worth noting

0.3935 is the chance of at least one defective bulb.

Concept
The probability of no event
Typical time
90 s
Your time
—
The rule this testsThe Poisson distribution
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