Probability and Statistics

Problems related to probability distributions, statistical inference, data analysis, etc.

Problems in this category

The problem presents a partial Punnett square with two offspring genotypes, both $Rr$. We are asked ...

GeneticsPunnett SquareProbabilityAllelesGenotypes
2025/4/2

The problem describes a cross between two dragonflies where red body color is dominant over green bo...

GeneticsPunnett SquareAllelesProbability
2025/4/2

The problem requires drawing a frequency polygon based on the given rainfall data. The data is prese...

Frequency PolygonData VisualizationStatistics
2025/4/1

The problem describes a pedigree chart related to albinism, a recessive trait in humans. We are aske...

GeneticsPedigree AnalysisRecessive TraitsProbability
2025/3/31

Two people, A and B, each have a bag containing three cards with the numbers 1, 2, and 3 written on ...

ProbabilityBinomial DistributionCombinatoricsProbability of Events
2025/3/31

The problem provides a data set with a missing number. We are given that the range of the data set i...

StatisticsMedianRangeData Analysis
2025/3/27

The problem asks to determine the relationship between the mean and the median based on the given hi...

MeanMedianHistogramFrequency DistributionData Analysis
2025/3/27

The problem asks us to determine if there are any outliers in the given data set: $51, 56, 70, 74, 7...

Descriptive StatisticsOutlier DetectionInterquartile Range (IQR)Data Analysis
2025/3/27

The problem asks us to determine whether statements regarding the five-number summary of the sum of ...

Descriptive StatisticsFive-Number SummaryPercentilesDice Rolls
2025/3/27

We have a box with 4 products, 3 first-grade and 1 second-grade. Two products are drawn sequentially...

Conditional ProbabilityProbabilityCombinatoricsWithout Replacement
2025/3/27