Statistics Paper I 2023
80 questions, booklet ASRT-U-STT.
Section I · Objective (Q1–Q80) · Q1–80
Practise this section →- 1Probability — unconditional probability across three sourcesProbabilityProbabilityEasy
- 2Probability — expectation of a squared conditional meanProbabilityProbabilityMedium
- 3Distribution Theory — variance, order statistics and memorylessness for exponentialDistribution TheoryStatistical MethodsHard
- 4Distribution Theory — mean and variance of a disguised binomial pmfDistribution TheoryProbabilityMedium
- 5Distribution Theory — variance of a squared standardized log-normal transformDistribution TheoryProbabilityHard
- 6Distribution Theory — checking four probabilities under a uniform densityDistribution TheoryProbabilityEasy
- 7Distribution Theory — double integral of independent normal densities over a diskDistribution TheoryProbabilityHard
- 8Distribution Theory — unconditional mean from a location-scale joint pdfDistribution TheoryProbabilityMedium
- 9Distribution Theory — unconditional variance from a location-scale joint pdfDistribution TheoryProbabilityMedium
- 10Distribution Theory — covariance from a location-scale joint pdfDistribution TheoryProbabilityMedium
- 11Distribution Theory — third cumulant of a linearly transformed binomialDistribution TheoryProbabilityMedium
- 12Distribution Theory — distribution of the scaled sum of three exponentialsDistribution TheoryProbabilityMedium
- 13Probability — series identity connecting a pgf to the cdfProbabilityProbabilityMedium
- 14Probability — an identity for tail-sum momentsProbabilityProbabilityMedium
- 15Distribution Theory — conditional MGF from a two-way pmf tableDistribution TheoryProbabilityMedium
- 16Distribution Theory — conditional variance from a two-way pmf tableDistribution TheoryProbabilityMedium
- 17Distribution Theory — conditional expectation of XY given YDistribution TheoryProbabilityEasy
- 18Distribution Theory — normalizing constant of a bivariate power-law densityDistribution TheoryProbabilityHard
- 19Distribution Theory — marginal distribution of X as Beta Type-IIDistribution TheoryProbabilityMedium
- 20Distribution Theory — marginal density of YDistribution TheoryProbabilityMedium
- 21Descriptive Statistics — which methods genuinely condense raw dataDescriptive StatisticsStatistical MethodsEasy
- 22Descriptive Statistics — variance of a linearly transformed datasetDescriptive StatisticsProbabilityEasy
- 23Distribution Theory — third central moment of a symmetric binomialDistribution TheoryProbabilityEasy
- 24Non-parametric Inference — chi-square value for a perfectly proportional tableNon-parametric InferenceStatistical MethodsEasy
- 25Probability — recovering Var(Y) from covariance and correlationProbabilityStatistical MethodsEasy
- 26Multivariate Analysis — recovering means from a bivariate normal exponentMultivariate AnalysisStatistical MethodsMedium
- 27Multivariate Analysis — variances recovered from the inverse covariance matrixMultivariate AnalysisLinear ModelsHard
- 28Multivariate Analysis — correlation coefficient from the covariance matrixMultivariate AnalysisLinear ModelsHard
- 29Multivariate Analysis — conditional distribution of Y given XMultivariate AnalysisStatistical MethodsHard
- 30Multivariate Analysis — peak density value of a bivariate normalMultivariate AnalysisStatistical MethodsHard
- 31Multivariate Analysis — fourth conditional moment of Y minus rho XMultivariate AnalysisStatistical MethodsMedium
- 32Multivariate Analysis — valid range of the intraclass correlationMultivariate AnalysisStatistical MethodsMedium
- 33Statistical Inference — standard error of a large-sample correlation coefficientStatistical InferenceStatistical MethodsMedium
- 34Statistical Inference — 95% CI for a mean with known SDStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 35Statistical Inference — scaled squared standard error of a proportionStatistical InferenceStatistical MethodsMedium
- 36Statistical Inference — distribution of the scaled sample varianceStatistical InferenceStatistical MethodsEasy
- 37Linear Models & Regression — prediction from the better-fitting least-squares modelLinear Models & RegressionStatistical MethodsMedium
- 38Statistical Inference — distribution of the standardized sample meanStatistical InferenceStatistical MethodsEasy
- 39Multivariate Analysis — covariance of Y minus rho X with XMultivariate AnalysisStatistical MethodsMedium
- 40Multivariate Analysis — MGF of a quadratic form in bivariate normal variablesMultivariate AnalysisLinear ModelsHard
- 41Numerical Analysis — points needed for a third divided differenceNumerical AnalysisNumerical AnalysisEasy
- 42Numerical Analysis — second divided difference of x-cubedNumerical AnalysisNumerical AnalysisMedium
- 43Numerical Analysis — recovering a value using the vanishing fourth differenceNumerical AnalysisNumerical AnalysisMedium
- 44Numerical Analysis — simplifying a tangent-of-difference expressionNumerical AnalysisNumerical AnalysisMedium
- 45Numerical Analysis — coefficient of x-to-the-4 from falling factorialsNumerical AnalysisNumerical AnalysisMedium
- 46Numerical Analysis — error bound for linear interpolationNumerical AnalysisNumerical AnalysisEasy
- 47Numerical Analysis — trapezoidal rule error for the integral of x-cubedNumerical AnalysisNumerical AnalysisMedium
- 48Numerical Analysis — undetermined coefficient of a three-node quadrature ruleNumerical AnalysisNumerical AnalysisMedium
- 49Numerical Analysis — sixth difference of a degree-6 product of polynomialsNumerical AnalysisNumerical AnalysisMedium
- 50Numerical Analysis — simplifying a shift-operator identityNumerical AnalysisNumerical AnalysisMedium
- 51Numerical Analysis — extrapolating one step before the tabulated dataNumerical AnalysisNumerical AnalysisMedium
- 52Numerical Analysis — interpolating midway using the backward formulaNumerical AnalysisNumerical AnalysisMedium
- 53Numerical Analysis — quadrature valid for arbitrary unequal spacingNumerical AnalysisNumerical AnalysisEasy
- 54Numerical Analysis — combining rules across two differently spaced gridsNumerical AnalysisNumerical AnalysisMedium
- 55Numerical Analysis — checking formulas for negative factorial powersNumerical AnalysisNumerical AnalysisHard
- 56Numerical Analysis — verifying two forms of the product-difference ruleNumerical AnalysisNumerical AnalysisMedium
- 57Numerical Analysis — absolute stability condition for Euler's methodNumerical AnalysisNumerical AnalysisMedium
- 58Numerical Analysis — classical RK4 applied to a simple decay equationNumerical AnalysisNumerical AnalysisMedium
- 59Numerical Analysis — degree of the polynomial fitting a numeric seriesNumerical AnalysisNumerical AnalysisEasy
- 60Numerical Analysis — constant term of the fitted cubicNumerical AnalysisNumerical AnalysisMedium
- 61Computer Applications & Data Processing — distinguishing CISC and RISC traitsComputer Applications & Data ProcessingComputer application and Data ProcessingEasy
- 62Computer Applications & Data Processing — picking the audio file formatsComputer Applications & Data ProcessingComputer application and Data ProcessingEasy
- 63Computer Applications & Data Processing — naming the physical-memory division techniqueComputer Applications & Data ProcessingComputer application and Data ProcessingEasy
- 64Computer Applications & Data Processing — identifying TCP/IP application-layer protocolsComputer Applications & Data ProcessingComputer application and Data ProcessingEasy
- 65Computer Applications & Data Processing — correct facts about cache memoryComputer Applications & Data ProcessingComputer application and Data ProcessingEasy
- 66Computer Applications & Data Processing — OS type bound by response timeComputer Applications & Data ProcessingComputer application and Data ProcessingEasy
- 67Computer Applications & Data Processing — verifying a base value and a Gray codeComputer Applications & Data ProcessingComputer application and Data ProcessingMedium
- 68Computer Applications & Data Processing — language feature enabling modular codeComputer Applications & Data ProcessingComputer application and Data ProcessingEasy
- 69Computer Applications & Data Processing — picking the open-source OSComputer Applications & Data ProcessingComputer application and Data ProcessingEasy
- 70Computer Applications & Data Processing — basic facts on Internet connectivityComputer Applications & Data ProcessingComputer application and Data ProcessingEasy
- 71Computer Applications & Data Processing — what SQL can and cannot do by defaultComputer Applications & Data ProcessingComputer application and Data ProcessingEasy
- 72Computer Applications & Data Processing — basic cryptography terminology checkComputer Applications & Data ProcessingComputer application and Data ProcessingEasy
- 73Computer Applications & Data Processing — naming the digital-analog conversion deviceComputer Applications & Data ProcessingComputer application and Data ProcessingEasy
- 74Computer Applications & Data Processing — identifying UNIX's core componentComputer Applications & Data ProcessingComputer application and Data ProcessingEasy
- 75Computer Applications & Data Processing — device for reading supermarket price tagsComputer Applications & Data ProcessingComputer application and Data ProcessingEasy
- 76Computer Applications & Data Processing — genuine reasons RISC beats CISCComputer Applications & Data ProcessingComputer application and Data ProcessingMedium
- 77Computer Applications & Data Processing — identifying the stable sorting algorithmsComputer Applications & Data ProcessingComputer application and Data ProcessingMedium
- 78Computer Applications & Data Processing — development steps and math-library linkingComputer Applications & Data ProcessingComputer application and Data ProcessingMedium
- 79Computer Applications & Data Processing — converting an octal number to hexadecimalComputer Applications & Data ProcessingComputer application and Data ProcessingMedium
- 80Computer Applications & Data Processing — terms associated with firewallsComputer Applications & Data ProcessingComputer application and Data ProcessingEasy