Probability and Statistics
Problems related to probability distributions, statistical inference, data analysis, etc.
Problems in this category
We are given that out of 120 customers, 45 bought both bags and shoes. All customers bought either b...
Venn DiagramsSet TheoryProbabilityWord Problems
2025/4/10
We need to prove the Law of Total Probability, which states that if events $B_1, B_2, ..., B_n$ form...
ProbabilityLaw of Total ProbabilityConditional ProbabilitySet Theory
2025/4/9
The image provides a formula for calculating the probability of an event $A$, denoted as $P(A)$, usi...
ProbabilityLaw of Total ProbabilityConditional ProbabilityEvents
2025/4/9
The image describes the Law of Total Probability. Given a sample space $S$ of an experiment $E$, an...
ProbabilityLaw of Total ProbabilityConditional ProbabilityEventsSample SpacePartition
2025/4/9
We are given two sets of numbers. We need to find the five-number summary (minimum, first quartile, ...
Descriptive StatisticsFive-Number SummaryQuartilesMedianData Analysis
2025/4/8
The problem is to create a box plot for the dataset {9, 15, 19, 5, 20, 15}. We need to order the dat...
Box PlotData AnalysisQuartilesMedianDescriptive Statistics
2025/4/8
Jerry selects 20 boxes of crayons and finds that 2 of them have at least one broken crayon. If ther...
ProportionStatistical InferenceExpected Value
2025/4/8
The problem asks us to determine whether two given surveys are random or biased. - Problem 1: David ...
SamplingBiasRandomnessSurveys
2025/4/8
We are asked to calculate the probability of each of the six given events.
ProbabilityCard ProbabilitiesDice ProbabilitiesCoin Flip ProbabilitiesIndependent EventsComplementary Probability
2025/4/8
The problem provides a discrete probability distribution and asks to calculate the expected value $E...
Probability DistributionExpected ValueModeVarianceStandard DeviationDiscrete Probability
2025/4/8