Binomial model for faulty light bulbs in a box: the expected number, exactly four faulty and more than two faulty
Binomial model for faulty light bulbs in a box: the expected number, exactly four faulty and more than two faulty
6 marks
A company makes light bulbs, and records show that \(4\%\) of its bulbs are faulty. A box of \(60\) bulbs is chosen at random, and the bulbs are faulty independently of one another.
- Write down the expected number of faulty bulbs in the box.
- Find the probability that exactly four of the bulbs in the box are faulty.
- Find the probability that more than two of the bulbs in the box are faulty.
[6]
Solution:
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Answer:(a) \(2.4\) (b) \(0.127\) (c) \(0.432\)
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