Probability and Statistics
Problems related to probability distributions, statistical inference, data analysis, etc.
Problems in this category
The problem provides a partially completed cumulative frequency table and asks to complete the table...
Cumulative FrequencyMedianPercentilesData AnalysisStatistics
2025/6/25
The image represents a tree diagram where the first level has three branches labeled 1, 2, and 3. Ea...
Sample SpaceTree DiagramCombinations
2025/6/25
There are 16 balls numbered from 1 to 16 in a box. Four balls are randomly drawn from the box simult...
CombinationsProbabilityGeometric ProgressionArithmetic ProgressionCounting
2025/6/25
The image shows examples of right-skewed probability density curves. It gives three examples, where ...
Probability Density FunctionRight-Skewed DistributionProbabilityContinuous Random VariableIntegration
2025/6/18
The problem asks us to find the mean and median of the set of numbers: $1, 3, 3, 3, 4, 6, 99$. We ar...
MeanMedianDescriptive StatisticsOutliers
2025/6/18
The problem asks to calculate the mean mark obtained by the members of a class in terms of $a$, $b$,...
MeanStatisticsWeighted Average
2025/6/18
The problem consists of several questions related to statistics and sampling distributions. Specific...
Sampling DistributionsSample MeanProbabilityZ-scoreConfidence IntervalsT-distributionStatistical Inference
2025/6/17
The problem asks for the probability that two specific members, A and B, can be on the committee of ...
CombinationsProbabilityCommittee Selection
2025/6/17
Given the probability distribution for assets $X$ and $Y$, we need to compute the expected rate of r...
Expected ValueVarianceStandard DeviationCoefficient of VariationProbability DistributionFinancial Mathematics
2025/6/17
We are given the returns of two stocks, J and K, over 4 years. We are asked to find the expected ret...
Portfolio OptimizationExpected ReturnStandard DeviationVarianceFinancial Mathematics
2025/6/17