Statistics Paper I 2019
80 questions, booklet ISS-2019-P1.
Section I · Objective (Q1–Q80) · Q1–80
Practise this section →- 1Descriptive Statistics — measures and graphs by scale typeDescriptive StatisticsStatistical MethodsMedium
- 2Probability — moments from a 2x2 joint tableProbabilityProbabilityMedium
- 3Descriptive Statistics — comparing coefficients of variationDescriptive StatisticsStatistical MethodsEasy
- 4Descriptive Statistics — sign of association between attributesDescriptive StatisticsStatistical MethodsEasy
- 5Descriptive Statistics — range of the regression slope kDescriptive StatisticsStatistical MethodsMedium
- 6Descriptive Statistics — correlation and SD ratio from regression linesDescriptive StatisticsStatistical MethodsHard
- 7Probability — shift parameter from a bivariate normal correlationProbabilityStatistical MethodsMedium
- 8Distribution Theory — variance of Fisher's Z transformationDistribution TheoryProbabilityEasy
- 9Descriptive Statistics — correlation sign changes under squaringDescriptive StatisticsStatistical MethodsMedium
- 10Descriptive Statistics — SD of Y from correlation and covarianceDescriptive StatisticsStatistical MethodsEasy
- 11Probability — Buffon's needle intersection probabilityProbabilityProbabilityMedium
- 12Probability — Bayes' theorem for two cannonsProbabilityProbabilityMedium
- 13Probability — Bayes' theorem for a medical treatmentProbabilityProbabilityMedium
- 14Probability — expected absolute value of a discrete variableProbabilityProbabilityEasy
- 15Probability — seventh child being the second daughterProbabilityProbabilityMedium
- 16Probability — pmf of a squared-and-shifted Poisson variableProbabilityProbabilityHard
- 17Probability — expected weeks to win a lotteryProbabilityProbabilityEasy
- 18Distribution Theory — checking binomial distribution propertiesDistribution TheoryProbabilityHard
- 19Descriptive Statistics — correlation under a linear transformDescriptive StatisticsStatistical MethodsEasy
- 20Probability — marginal density from a joint pdfProbabilityProbabilityEasy
- 21Distribution Theory — checking statements on chi-square, t and FDistribution TheoryStatistical MethodsHard
- 22Statistical Inference — checking claims about Type I errorStatistical InferenceStatistical Inference and Hypothesis TestingHard
- 23Statistical Inference — standard error of a difference of meansStatistical InferenceStatistical MethodsEasy
- 24Statistical Inference — test for a two-group recovery rate comparisonStatistical InferenceLinear ModelsHard
- 25Distribution Theory — expectation of a product involving T and mean squaredDistribution TheoryStatistical MethodsHard
- 26Descriptive Statistics — coefficient of contingency from chi-squareDescriptive StatisticsStatistical MethodsEasy
- 27Statistical Inference — identifying an unneeded chi-square test conditionStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 28Distribution Theory — constant for a t-distributed ratioDistribution TheoryProbabilityHard
- 29Distribution Theory — E(X)E(1/X) for an F-distributed variateDistribution TheoryProbabilityMedium
- 30Distribution Theory — probability the sample median exceeds 1/2Distribution TheoryStatistical MethodsMedium
- 31Distribution Theory — pdf of Y=sin X for a non-monotonic transformDistribution TheoryProbabilityHard
- 32Probability — variance of black balls drawn without replacementProbabilityOperations Research and ReliabilityHard
- 33Probability — Chebyshev bound on weekly productionProbabilityProbabilityEasy
- 34Probability — smallest k in Chebyshev's inequality for 0.99 coverageProbabilityProbabilityEasy
- 35Distribution Theory — CLT bound on total round-off errorDistribution TheoryProbabilityHard
- 36Distribution Theory — expected maximum of two standard normal variatesDistribution TheoryStatistical MethodsMedium
- 37Distribution Theory — normalizing constant for a piecewise densityDistribution TheoryProbabilityMedium
- 38Distribution Theory — mean and variance from a normal exponentDistribution TheoryProbabilityMedium
- 39Distribution Theory — E(X) and Var(X) for a symmetric densityDistribution TheoryProbabilityMedium
- 40Distribution Theory — distribution of the difference of exponentialsDistribution TheoryProbabilityMedium
- 41Computer Applications — identifying the control busComputer Applications & Data ProcessingComputer application and Data ProcessingMedium
- 42Computer Applications — identifying positional weighted codesComputer Applications & Data ProcessingComputer application and Data ProcessingMedium
- 43Computer Applications — binary quotient and remainderComputer Applications & Data ProcessingComputer application and Data ProcessingEasy
- 44Computer Applications — module combining object codeComputer Applications & Data ProcessingComputer application and Data ProcessingEasy
- 45Computer Applications — classifying antivirus softwareComputer Applications & Data ProcessingComputer application and Data ProcessingMedium
- 46Computer Applications — functions of network protocolsComputer Applications & Data ProcessingComputer application and Data ProcessingHard
- 47Computer Applications — identifying spywareComputer Applications & Data ProcessingComputer application and Data ProcessingEasy
- 48Computer Applications — properties of subroutinesComputer Applications & Data ProcessingComputer application and Data ProcessingMedium
- 49Computer Applications — reducing software cost via OS choiceComputer Applications & Data ProcessingComputer application and Data ProcessingMedium
- 50Computer Applications — protocol for sending emailComputer Applications & Data ProcessingComputer application and Data ProcessingEasy
- 51Numerical Analysis — missing value via constant third differencesNumerical AnalysisNumerical AnalysisHard
- 52Numerical Analysis — tenth difference of a product polynomialNumerical AnalysisNumerical AnalysisHard
- 53Numerical Analysis — values of Delta^5 0^3 and Delta^3 0^5Numerical AnalysisNumerical AnalysisHard
- 54Numerical Analysis — telescoping sum of second differencesNumerical AnalysisNumerical AnalysisMedium
- 55Numerical Analysis — polynomial in factorial notationNumerical AnalysisNumerical AnalysisMedium
- 56Numerical Analysis — solving for missing values of a cubicNumerical AnalysisNumerical AnalysisHard
- 57Numerical Analysis — differences used in Gauss forward formulaNumerical AnalysisNumerical AnalysisMedium
- 58Numerical Analysis — third divided difference of a quadraticNumerical AnalysisNumerical AnalysisEasy
- 59Numerical Analysis — slope from a Lagrange-fitted cubicNumerical AnalysisNumerical AnalysisHard
- 60Numerical Analysis — iterative inverse interpolationNumerical AnalysisNumerical AnalysisHard
- 61Computer Applications — translating IP addresses to URLsComputer Applications & Data ProcessingComputer application and Data ProcessingEasy
- 62Computer Applications — content-addressable memoryComputer Applications & Data ProcessingComputer application and Data ProcessingEasy
- 63Computer Applications — system without shared memory and busComputer Applications & Data ProcessingComputer application and Data ProcessingMedium
- 64Computer Applications — fastest network cableComputer Applications & Data ProcessingComputer application and Data ProcessingEasy
- 65Computer Applications — wiretap listening techniqueComputer Applications & Data ProcessingComputer application and Data ProcessingEasy
- 66Computer Applications — Government of India's public networkComputer Applications & Data ProcessingComputer application and Data ProcessingEasy
- 67Computer Applications — medium with highest Internet bandwidthComputer Applications & Data ProcessingComputer application and Data ProcessingEasy
- 68Computer Applications — OS technique for memory managementComputer Applications & Data ProcessingComputer application and Data ProcessingEasy
- 69Computer Applications — core functions of an operating systemComputer Applications & Data ProcessingComputer application and Data ProcessingEasy
- 70Computer Applications — memory for portable devicesComputer Applications & Data ProcessingComputer application and Data ProcessingEasy
- 71Numerical Analysis — trapezoidal estimate of ln 2Numerical AnalysisNumerical AnalysisEasy
- 72Numerical Analysis — interval requirement for Simpson's ruleNumerical AnalysisNumerical AnalysisEasy
- 73Numerical Analysis — integral via Simpson's 3/8 ruleNumerical AnalysisNumerical AnalysisMedium
- 74Ordinary Differential Equations — Euler's method for an IVPOrdinary Differential EquationsNumerical AnalysisMedium
- 75Ordinary Differential Equations — third Picard approximationOrdinary Differential EquationsNumerical AnalysisHard
- 76Numerical Analysis — extremum from symmetric tabulated dataNumerical AnalysisNumerical AnalysisMedium
- 77Numerical Analysis — linear interpolation of log10(1+x)Numerical AnalysisNumerical AnalysisEasy
- 78Ordinary Differential Equations — second-order Runge-Kutta methodOrdinary Differential EquationsNumerical AnalysisHard
- 79Numerical Analysis — operator identity for delta and DeltaNumerical AnalysisNumerical AnalysisHard
- 80Numerical Analysis — third divided difference of a cubicNumerical AnalysisNumerical AnalysisMedium