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.
The worked solutions to these exam-style questions are only available to those who have a Transum Subscription.
Subscribers can drag down the panel to reveal the solution line by line. This is a very helpful strategy for the student who does not know how to do the question but given a clue, a peep at the beginnings of a method, they may be able to make progress themselves.
This could be a great resource for a teacher using a projector or for a parent helping their child work through the solution to this question. The worked solutions also contain screen shots (where needed) of the step by step calculator procedures.
A subscription also opens up the answers to all of the other online exercises, puzzles and lesson starters on Transum Mathematics and provides an ad-free browsing experience.
Drag this panel down to reveal the solution
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.
©1997 - 2022 Transum Mathematics :: For more exam-style questions and worked solutions go to Transum.org/Maths/Exam/