Probability and Statistics
Problems related to probability distributions, statistical inference, data analysis, etc.
Problems in this category
Jake has 30 total contacts. 16 of these contacts are people he met at school. What is the probabilit...
ProbabilityFractionsDecimalsRounding
2025/3/21
Greg's MP3 player has 6 classical songs, 7 rock songs, and 9 rap songs. What is the probability of r...
ProbabilityConditional ProbabilityFractionsRounding
2025/3/21
The problem asks for a reasonable estimate of the probability that the next customer to enter Jeremy...
ProbabilityEstimationConditional Probability
2025/3/21
The problem describes a survey conducted at a school with 60 learners. The survey aimed to determine...
Venn DiagramsSet TheorySurvey Analysis
2025/3/20
Given the probabilities $P(A) = \frac{1}{2}$, $P(B) = \frac{1}{3}$, $P(C) = \frac{1}{5}$, $P(AB) = \...
ProbabilityInclusion-Exclusion PrincipleDe Morgan's LawSet TheoryConditional Probability
2025/3/20
We are given the probabilities of events $A$, $B$, $C$, $AB$ (which means $A \cap B$), $AC$ (which m...
ProbabilitySet TheoryEventsUnionIntersectionComplement
2025/3/20
The problem has two parts. (i) Given $P(A) = \frac{1}{2}$ and that events $A$ and $B$ are mutually e...
ProbabilityMutually Exclusive EventsConditional ProbabilitySet Theory
2025/3/20
The problem provides a table showing the distribution of inhabitants of a municipality based on thei...
Descriptive StatisticsHistogramsFrequency PolygonsCumulative FrequencyMeasures of Central TendencyMeasures of DispersionArithmetic MeanGeometric MeanHarmonic MeanQuadratic Mean
2025/3/19
A committee consisting of 3 men and 5 women is to be selected from 5 men and 10 women. Find how man...
CombinationsCountingCommittee Selection
2025/3/19
Two people, A and B, agree to meet at a location sometime within the interval $[0, T]$. The first pe...
ProbabilityJoint Probability DistributionUniform DistributionGeometric ProbabilityIntegration
2025/3/19