Probability and Statistics
Problems related to probability distributions, statistical inference, data analysis, etc.
Problems in this category
A box contains 40 identical balls. Among these, 10 are red and 12 are blue. A ball is randomly selec...
ProbabilityCombinatoricsBasic Probability
2025/4/11
The problem provides a table showing the heights (in cm) of 37 basketball players and the number of ...
MeanStatisticsData AnalysisAverages
2025/4/11
The problem asks to find the first quartile (Q1) of the dataset: 7, 8, 7, 9, 11, 8, 7, 9, 6, and 8.
Descriptive StatisticsQuartilesMedianData Analysis
2025/4/11
The interquartile range (IQR) of a distribution is given as 7. The 25th percentile (Q1) is given as ...
StatisticsInterquartile RangePercentilesData Analysis
2025/4/10
We are asked to find the probability of selecting a green ball from a box. We are provided with mult...
ProbabilityConditional ProbabilityIncomplete InformationMultiple Choice
2025/4/10
We are given a probability problem where two balls are selected at random, one after the other, with...
ProbabilityIndependent EventsWith Replacement
2025/4/10
The problem asks us to calculate the standard deviation of the numbers 15, 21, 17, 26, 18, and 29, g...
Standard DeviationStatisticsData Analysis
2025/4/10
The problem consists of two parts. Part 1: Given $P(\overline{A}) = 0.3$, $P(B) = 0.4$, and $P(A \ca...
Conditional ProbabilitySet TheoryProbability Rules
2025/4/10
The problem provides a table showing the distribution of marks scored by students. The marks range f...
MeanInterquartile RangeProbabilityData AnalysisFrequency Distribution
2025/4/10
A machine has a 95% chance of being properly adjusted each morning. When properly adjusted, the prod...
Bayes' TheoremConditional ProbabilityProbabilityTotal Probability
2025/4/10