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OCR GCE A LEVEL FURTHER MATHEMATICS A PAPER 1 QUESTION PAPER 2023 (Y542/01: Statistics). DOWNLOAD OFFICIAL AND VERIFIED OCR A LEVEL FURTHER MATHEMATICS A PAPER 1 QUESTION PAPER 2023 ON www.leakedexams.com.
 A certain section of a library contains several thousand books. A lecturer is looking for a book that
refers to a particular topic. The lecturer believes that one-twentieth of the books in that section
of the library contain a reference to that topic. However, the lecturer does not know which books
they might be, so the lecturer looks in each book in turn for a reference to the topic. The first book
the lecturer finds that refers to the topic is the Xth book in which the lecturer looks.
(a) A student says, “There is a maximum value of X as there is only a finite number of books. So
a geometric distribution cannot be a good model for X.â€
 Explain whether you agree with the student. [1]
(b) (i) State one modelling assumption (not involving the total number of books) needed for X
to be modelled by a geometric distribution in this context. [1]
 (ii) Suggest a reason why this assumption may not be valid in this context. [1]
Assume now that X can be well modelled by the distribution Geo(0.05).
(c) The probability that the lecturer needs to look in no more than n books is greater than 0.9.
 Find the smallest possible value of n. [3]
(d) The lecturer needs to find four different books that refer to the topic.
 Find the probability that the lecturer wants to look in exactly 40 books. [2]
| Author | OCR KING |
| Published | 30 Jul 2024 |
| Included files | |
OCR GCE A LEVEL BIOLOGY A PAPER 1 MARK SCHEME 2023...
OCR GCE A LEVEL BIOLOGY A PAPER 1 QUESTION PAPER 2...
OCR GCE A LEVEL BIOLOGY A PAPER 2 QUESTION PAPER 2...
OCR GCE A LEVEL BIOLOGY A PAPER 2 MARK SCHEME 2023...
OCR GCE A LEVEL BIOLOGY A PAPER 3 QUESTION PAPER 2...
OCR GCE A LEVEL BIOLOGY A PAPER 3 MARK SCHEME 2023...
OCR GCE A LEVEL CHEMISTRY A PAPER 1 QUESTION PAPER...
OCR GCE A LEVEL CHEMISTRY A PAPER 1 MARK SCHEME 20...
OCR GCE A LEVEL CHEMISTRY A PAPER 2 QUESTION PAPER...
OCR GCE A LEVEL CHEMISTRY A PAPER 2 MARK SCHEME 20...
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