Statistics Paper I 2020
80 questions, booklet ISS-2020-P1.
Section I · Objective (Q1–Q80) · Q1–80
Practise this section →- 1Statistical Inference — Kolmogorov–Smirnov statistic for a fully specified nullStatistical InferenceStatistical MethodsMedium
- 2Statistical Inference — recovering missing cells from row/column totalsStatistical InferenceDesign and Analysis of ExperimentsMedium
- 3Statistical Inference — choosing paired vs independent-sample testsStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 4Statistical Inference — mean and mode of the F-distributionStatistical InferenceStatistical MethodsMedium
- 5Statistical Inference — counting runs in a binary sequenceStatistical InferenceComputer application and Data ProcessingEasy
- 6Statistical Inference — nonparametric test for a hypothesised median/percentileStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 7Statistical Inference — probability integral transform of order statisticsStatistical InferenceStatistical MethodsMedium
- 8Statistical Inference — partial correlation coefficient formulaStatistical InferenceStatistical MethodsMedium
- 9Statistical Inference — degenerate cases of Spearman's rank correlationStatistical InferenceStatistical MethodsEasy
- 10Statistical Inference — density of an order statisticStatistical InferenceStatistical MethodsMedium
- 11Statistical Inference — effect of linear transformations on mean and SDStatistical InferenceProbabilityEasy
- 12Statistical Inference — consistency conditions for attribute frequenciesStatistical InferenceStatistical Inference and Hypothesis TestingHard
- 13Statistical Inference — correlation from the variance of a differenceStatistical InferenceStatistical MethodsEasy
- 14Statistical Inference — correlation with a deterministic linear functionStatistical InferenceStatistical MethodsEasy
- 15Statistical Inference — interpreting the coefficient of determination and regression signsStatistical InferenceStatistical MethodsEasy
- 16Statistical Inference — multiple correlation coefficient with equal pairwise correlationsStatistical InferenceStatistical MethodsMedium
- 17Statistical Inference — distribution of a ratio built from independent normalsStatistical InferenceStatistical MethodsHard
- 18Statistical Inference — degrees of freedom for the variance-ratio testStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 19Statistical Inference — size of a sign test for a percentile hypothesisStatistical InferenceStatistical Inference and Hypothesis TestingHard
- 20Statistical Inference — expected value of the minimum of iid uniformsStatistical InferenceStatistical MethodsMedium
- 21Probability — ordered sampling and complete occupancy probabilityProbabilityStatistical Inference and Hypothesis TestingEasy
- 22Probability — loaded die with unequal odd/even probabilitiesProbabilityProbabilityMedium
- 23Probability — normalising constant for a p.m.f. on even integersProbabilityProbabilityMedium
- 24Probability — distribution of the difference of independent normalsProbabilityProbabilityMedium
- 25Probability — lack-of-memory propertyProbabilityComputer application and Data ProcessingEasy
- 26Probability — marginal density from a bivariate triangular densityProbabilityProbabilityMedium
- 27Probability — mean of a Beta-type densityProbabilityProbabilityEasy
- 28Probability — moment generating function of a reflected exponentialProbabilityProbabilityMedium
- 29Probability — markov's inequalityProbabilityProbabilityEasy
- 30Probability — indicator variables and their algebraic identitiesProbabilityProbabilityHard
- 31Probability — singularity condition for a bivariate normal densityProbabilityStatistical MethodsEasy
- 32Probability — modes of convergence for a degenerating sequenceProbabilityProbabilityHard
- 33Probability — parameter range for a valid piecewise c.d.f.ProbabilityProbabilityMedium
- 34Probability — maximising exponential probability over a fixed intervalProbabilityProbabilityMedium
- 35Probability — recovering the Poisson mean from its p.g.f.ProbabilityProbabilityEasy
- 36Probability — continuity requirement for a piecewise c.d.f. with a densityProbabilityProbabilityMedium
- 37Probability — rectangle inequality for a bivariate c.d.f.ProbabilityProbabilityHard
- 38Probability — density of a linear transformation via the JacobianProbabilityProbabilityHard
- 39Probability — expectation of a function of a Binomial variableProbabilityProbabilityMedium
- 40Probability — bayes' theorem for the source of a defective itemProbabilityProbabilityEasy
- 41Computer Applications — computer terminal componentsComputer Applications & Data ProcessingComputer application and Data ProcessingEasy
- 42Computer Applications — well-formedness of arithmetic expressionsComputer Applications & Data ProcessingComputer application and Data ProcessingEasy
- 43Computer Applications — weighted vs non-weighted codesComputer Applications & Data ProcessingComputer application and Data ProcessingEasy
- 44Computer Applications — application layer network protocolsComputer Applications & Data ProcessingComputer application and Data ProcessingEasy
- 45Computer Applications — representation of negative numbers in computersComputer Applications & Data ProcessingComputer application and Data ProcessingEasy
- 46Computer Applications — optical input devicesComputer Applications & Data ProcessingComputer application and Data ProcessingEasy
- 47Computer Applications — languages for the .NET platformComputer Applications & Data ProcessingComputer application and Data ProcessingEasy
- 48Computer Applications — function of an input deviceComputer Applications & Data ProcessingComputer application and Data ProcessingEasy
- 49Computer Applications — internal components of a CRT monitorComputer Applications & Data ProcessingComputer application and Data ProcessingEasy
- 50Computer Applications — binary to hexadecimal conversionComputer Applications & Data ProcessingComputer application and Data ProcessingMedium
- 51Computer Applications — decoding 8421 BCD representationComputer Applications & Data ProcessingComputer application and Data ProcessingMedium
- 52Computer Applications — hiding information inside imagesComputer Applications & Data ProcessingComputer application and Data ProcessingEasy
- 53Computer Applications — identifying web browsersComputer Applications & Data ProcessingComputer application and Data ProcessingEasy
- 54Computer Applications — non-erasable computer memoryComputer Applications & Data ProcessingComputer application and Data ProcessingEasy
- 55Computer Applications — byte-unit conversionsComputer Applications & Data ProcessingComputer application and Data ProcessingEasy
- 56Computer Applications — ISO standardsComputer Applications & Data ProcessingComputer application and Data ProcessingEasy
- 57Computer Applications — wireless networking standardsComputer Applications & Data ProcessingComputer application and Data ProcessingEasy
- 58Computer Applications — basic sequential storage circuitsComputer Applications & Data ProcessingComputer application and Data ProcessingEasy
- 59Computer Applications — valid hexadecimal digitsComputer Applications & Data ProcessingComputer application and Data ProcessingEasy
- 60Computer Applications — permanent (non-volatile) storageComputer Applications & Data ProcessingComputer application and Data ProcessingEasy
- 61Numerical Analysis — choosing an interpolation formula for incremental node insertionNumerical AnalysisNumerical AnalysisMedium
- 62Numerical Analysis — choosing a quadrature rule to match the integrandNumerical AnalysisNumerical AnalysisEasy
- 63Numerical Analysis — central difference operator expansionNumerical AnalysisNumerical AnalysisEasy
- 64Numerical Analysis — euler's method for an ODENumerical AnalysisNumerical AnalysisMedium
- 65Numerical Analysis — properties of divided differencesNumerical AnalysisNumerical AnalysisEasy
- 66Numerical Analysis — composing the average and central-difference operatorsNumerical AnalysisNumerical AnalysisMedium
- 67Numerical Analysis — operator methods applied to exponential sequencesNumerical AnalysisNumerical AnalysisMedium
- 68Numerical Analysis — evaluating factorial notationNumerical AnalysisNumerical AnalysisEasy
- 69Numerical Analysis — inverse interpolation using divided differencesNumerical AnalysisNumerical AnalysisMedium
- 70Numerical Analysis — recovering a function from its first differenceNumerical AnalysisNumerical AnalysisMedium
- 71Numerical Analysis — newton's divided difference interpolating polynomialNumerical AnalysisNumerical AnalysisMedium
- 72Numerical Analysis — recovering a function value from a divided-difference tableNumerical AnalysisNumerical AnalysisMedium
- 73Numerical Analysis — exactness of Simpson's rule for low-degree polynomialsNumerical AnalysisNumerical AnalysisMedium
- 74Numerical Analysis — detecting the required polynomial degree and choosing extrapolation formulasNumerical AnalysisNumerical AnalysisMedium
- 75Numerical Analysis — operator identities: shift, forward, and backward differencesNumerical AnalysisNumerical AnalysisMedium
- 76Numerical Analysis — exactness of Simpson's rule for a quadratic integrandNumerical AnalysisNumerical AnalysisMedium
- 77Numerical Analysis — determining a quadrature coefficient for maximum orderNumerical AnalysisNumerical AnalysisHard
- 78Numerical Analysis — interpolating a set of perfect cubes with a quadraticNumerical AnalysisNumerical AnalysisMedium
- 79Numerical Analysis — composite Simpson's one-third ruleNumerical AnalysisNumerical AnalysisMedium
- 80Numerical Analysis — difference operators applied to an exponential combinationNumerical AnalysisNumerical AnalysisMedium