Probability and Statistics
Problems related to probability distributions, statistical inference, data analysis, etc.
Problems in this category
The problem asks to construct a 99% confidence interval for the average land temperature from 1981-2...
Confidence IntervalT-distributionSample MeanSample Standard DeviationStatistical Inference
2025/4/13
We are given the marks obtained by 8 students in Mathematics and Physics tests. We are asked to calc...
Spearman's Rank CorrelationCorrelationStatistics
2025/4/13
The problem consists of two parts. Part (a) requires drawing a Venn diagram based on two given state...
Venn DiagramsMeanVarianceFrequency Distribution
2025/4/13
Two fair dice, A and B, each with faces numbered 1 to 6, are thrown together. We need to: a) Constru...
ProbabilityDiscrete ProbabilityDiceSample SpaceEvents
2025/4/13
The problem provides a frequency table showing the distribution of heights of seedlings in a nursery...
MeanVarianceFrequency DistributionDescriptive Statistics
2025/4/13
Researchers are interested in the mean age of a certain population. A random sample of 10 individual...
Hypothesis TestingP-valueStatistical SignificanceNormal DistributionMeanVariance
2025/4/13
The problem provides a frequency distribution of companies in the automotive sector based on their r...
Descriptive StatisticsFrequency DistributionHistogramsFrequency PolygonsCumulative Frequency CurvesMeasures of Central TendencyMeasures of DispersionSkewnessKurtosisGini IndexLorenz Curve
2025/4/13
The problem provides a frequency distribution table of the annual local taxes paid by the residents ...
Descriptive StatisticsFrequency DistributionMedianQuartilesMeanVarianceCoefficient of VariationSkewnessGini Index
2025/4/13
The problem presents a distribution of housing based on the number of rooms $x$. The table provides ...
Descriptive StatisticsFrequency DistributionMeasures of Central TendencyMeasures of DispersionMeanMedianModeQuartilesVarianceStandard DeviationCoefficient of Variation
2025/4/13
A fair die is tossed twice. We want to find the probability of getting a sum of at least 10.
ProbabilityDiscrete ProbabilityDie RollsExpected Value
2025/4/11