OCR MEI Paper 2 Specimen — Question 5 2 marks

Exam BoardOCR MEI
ModulePaper 2 (Paper 2)
SessionSpecimen
Marks2
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicBinomial Distribution
TypeDirect binomial probability calculation
DifficultyModerate -0.8 This is a straightforward binomial probability calculation with clearly stated parameters (n=20, p=0.08, finding P(X=2)). It requires only direct application of the binomial formula or calculator function with no problem-solving or interpretation needed, making it easier than average but not trivial since it involves binomial distribution rather than just basic arithmetic.
Spec2.04b Binomial distribution: as model B(n,p)2.04c Calculate binomial probabilities
In a particular country, 8% of the population has blue eyes. A random sample of 20 people is selected from this population. Find the probability that exactly two of these people have blue eyes. [2]
Question 5:
AnswerMarks
5p
Binomial(20, 0.08)
AnswerMarks
P(2 blue) = 0.27[11]M1
A1
AnswerMarks Guidance
[2]3.3
1.1BC
51 0
6 a0 1
6 b2 0 
Question 5:
5 | p
Binomial(20, 0.08)
P(2 blue) = 0.27[11] | M1
A1
[2] | 3.3
1.1 | BC
5 | 1 | 0 | 0 | 1 | 2 | 0
6 a | 0 | 1 | 0 | 1 | 2 | 0
6 b | 2 | 0 | 0 | 0 | 2 | 0
In a particular country, 8% of the population has blue eyes. A random sample of 20 people is selected from this population.
Find the probability that exactly two of these people have blue eyes. [2]

\hfill \mbox{\textit{OCR MEI Paper 2  Q5 [2]}}
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Q1 5 Q2 4 Q3 3 Q4 5 Q5 2 Q6 4 Q7 4 Q8 3 Q9 4 Q10 3 Q11 4 Q12 6 Q13 6 Q14 12 Q15 15 Q16 20