## Exam-Style Question on Binomial Distribution## A mathematics exam-style question with a worked solution that can be revealed gradually |

Question id: 364. This question is similar to one that appeared on an IB Standard paper in 2008. The use of a calculator is allowed.

A small digital storage manufacturer makes novelty USB drives which are given away at conferences. The probability that a drive is defective is 0.03. The factory tests a random sample of 200 drives.

(a) Find the mean number of defective drives in the sample.

(b) Find the probability that there are exactly ten defective drives in the sample.

(c) Find the probability that there is at least one defective drive in the sample.

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If you are using a TI-nSpire CX calculator and you would like to see an example of the process used in this question see GDC Essentials.

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