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STEP Support Programme

Discrete random variable

17-S3-Q12

Discrete random variable, joint probability distribution, independence, covariance.

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[STEP III 2017 Question 12 (Probability and Statistics)]

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13-S3-Q12

Expectation, ordering of letters, sum, variance.

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[STEP III 2013 Question 12 (Probability and Statistics)]

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05-S1-Q14

Expectation, median, gaussian, variance.

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

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02-S3-Q14

Variance, covariance, binomial distribution, RSS.

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[STEP III 2002 Question 14 (Probability and Statistics)]

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02-S1-Q13

Roots of quadratic, expectation, cubic equation.

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

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99-S3-Q12

Increasing function, solution of equation, expectation.

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[STEP III 1999 Question 12 (Probability and Statistics)]

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96-S1-Q13

Expectation and variance, Penny Black stamp.

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[STEP I 1996 Question 13 (Probability and Statistics)]

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91-S3-Q16

Joint probability distribution, marginal probability, expectation.

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

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89-S1-Q16

Expectation, probability, long time.

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[STEP I 1989 Question 16 (Probability and Statistics)]

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Spec-S1-Q15

Expectation and variance, integer values.

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[STEP I Specimen 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)