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STEP Support Programme

Continuous random variable

11-S1-Q13

Integration.

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[STEP I 2011 Question 13 (Probability and Statistics)]

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10-S2-Q12

Expectation, median, inequality.

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[STEP II 2010 Question 12 (Probability and Statistics)]

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09-S2-Q12

Probability density function, pdf, curve sketching, expectation and variance, statistical tables, median.

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[STEP II 2009 Question 12 (Mechanics)]

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06-S2-Q14

Probability density function, curve sketching, pdf.

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[STEP II 2006 Question 14 (Mechanics)]

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05-S3-Q14

Integration by substitution, density function, median, expectation, gas molecule.

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[STEP III 2005 Question 14 (Probability and Statistics)]

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02-S3-Q13

Exponential distribution, bus route, median.

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[STEP III 2002 Question 13 (Probability and Statistics)]

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01-S3-Q14

Uniform distribution, variance, estimators.

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[STEP III 2001 Question 14 (Probability and Statistics)]

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00-S1-Q14

Uniform distribution, expectation, moments, variance.

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[STEP I 2000 Question 14 (Probability and Statistics)]

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99-S3-Q13

Cake in canteen, expectation.

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[STEP III 1999 Question 13 (Probability and Statistics)]

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99-S1-Q14

Dart throwing, expectation, total score, probability, density function.

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[STEP I 1999 Question 14 (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)