Answer ALL questions. Write your answers in the spaces provided.
1 Josh works as a proofreader at a company. He is currently correcting the errors in
spelling, punctuation, and grammar in the text of a new novel.
He h
...
Answer ALL questions. Write your answers in the spaces provided.
1 Josh works as a proofreader at a company. He is currently correcting the errors in
spelling, punctuation, and grammar in the text of a new novel.
He has to make a record of every change he makes to the text.
The author’s last novel had 136 pages and needed a lot of corrections. The bar chart in
Figure 1 shows the distribution of text errors per page in this last novel.
0
Frequency
Errors per page
60
50
40
30
20
10
0
1 2 3 4 5 6 7
Figure 1
(a) Assuming that the new novel has a similar distribution of errors to the last novel,
estimate,
(i) the probability that a randomly chosen page has fewer than 2 errors,
(2)
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(ii) the expected number of errors per page.
(3)
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Question 1 continued
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The new novel has 223 pages.
(b) Assuming that the new novel has a similar distribution of errors to the last novel,
estimate the expected number of errors in the new novel.
(1)
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(c) Give one reason why the assumption used in (a) and (b) may be valid.
(1)
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(d) Give one reason why the assumption used in (a) and (b) may not be valid.
(1)
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(Total for Question 1 is 8 marks)
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