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STEP Support Programme

Uniform distribution

15-S3-Q13

Independent random variable, normal distribution, cumulative function, probability density function (pdf), expectation.

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[STEP III 2015 Question 13 (Probability and Statistics)]

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00-S2-Q14

Independent, medium, probability density function, pdf, expectation and variance, inequality, normal distribution, central limit theorem.

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[STEP II 2000 Question 14 (Mechanics)]

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98-S3-Q14

Submarines, max, sum of random variables, estimator, expectation and variances.

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[STEP III 1998 Question 14 (Probability and Statistics)]

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97-S1-Q12

Root of quadratic, expectation and variance, sum of random variable, probability.

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[STEP I 1997 Question 12 (Probability and Statistics)]

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93-S2-Q15

LEP, VOZ, computer programs, fractional part, magnitude of error.

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[STEP II 1993 Question 15 (Probability and Statistics)]

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91-S2-Q16

Cabbibo dam, rain, approximation.

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[STEP II 1991 Question 16 (Probability and Statistics)]

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89-S3-Q15

Continuous random variable, independent, probability density function, pdf, median, integration, expectation, variance.

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[STEP III 1989 Question 15 (Probability and Statistics)]

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87-S3-Q16

Independent identically distributed random variables (iid), min, max, Lord Copper, lottery.

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[STEP II 1987 Question 16 (Probability and Statistics)]

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87-S2-Q15

Train and lorry, level crossing, collision, independent random variables.

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[STEP II 1987 Question 15 (Probability and Statistics)]

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87-S1-Q15

Continuous random variable, point on a unit circle, mean and variance.

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[STEP I 1987 Question 15 (Probability and Statistics)]

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Useful Links

Underground Mathematics: Selected worked STEP questions

STEP Question database

University of Cambridge Mathematics Faculty: What do we look for?

University of Cambridge Mathematics Faculty: Information about STEP

University of Cambridge Admissions Office: Undergraduate course information for Mathematics

Stephen Siklos' "Advanced Problems in Mathematics" book (external link)

MEI: Worked solutions to STEP questions (external link)

OCR: Exam board information about STEP (external link)

AMSP (Advanced Maths Support programme): Support for University Admission Tests (external link)