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Binomial & Poisson Distributions · Question 13 of 68

Question 13

MediumOriginal question

10% of the bulbs a factory makes are faulty. In a random sample of 5 bulbs, what is the probability that none is faulty?

Options for question 13

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Each bulb is good with probability 0.9, independently.

  2. The chance that none is faulty is (0.9)5=0.59049(0.9)^{5} = 0.59049.

Worth noting

0.5 takes away 5×0.15 \times 0.1 from 1, which counts samples with two faulty bulbs twice.

Concept
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Typical time
90 s
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The rule this testsBinomial probabilities
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