Probability and Statistics
Problems related to probability distributions, statistical inference, data analysis, etc.
Problems in this category
Based on the provided information, we have a hypothesis test with a sample size of $n=17$ and a sign...
Hypothesis TestingTest StatisticCritical ValueNull HypothesisSignificance Level
2025/4/24
Teams A and B are playing a series of games. The first team to win 4 games wins the championship. Gi...
CombinatoricsProbabilitySequencesGame Theory
2025/4/24
We have a batch of 100 musical instruments, 4 of which have impure tone. We randomly select 3 instr...
ProbabilityConditional ProbabilityCombinationsBayes' Theorem (implied)
2025/4/24
The problem provides a table showing the distribution of marks scored by students in a test. (a) Giv...
MeanInterquartile RangeProbabilityData AnalysisFrequency Distribution
2025/4/24
There are 120 customers in a shop. 45 customers bought both bags and shoes. Every customer bought ei...
Set TheoryVenn DiagramsProbabilityWord Problem
2025/4/23
The problem asks us to calculate the probability of two events: (1) The customer randomly selects a ...
ProbabilityBasic ProbabilityEventsCalculating Probability
2025/4/23
We are given data for four different training methods, including the sample mean ($\bar{x}_i$) and s...
ANOVAF-statisticHypothesis TestingSum of SquaresDegrees of FreedomMean Squares
2025/4/23
We are comparing the effects of a new medication, an existing medication, and a placebo on patient o...
F-statisticANOVAHypothesis TestingStatistical Significance
2025/4/23
We are given data on the extroversion levels of students in four different majors: English, History,...
ANOVAF-statisticHypothesis TestingStatistical Significance
2025/4/23
The problem is to perform an ANOVA test to determine if there are significant differences in the ave...
ANOVAF-statisticHypothesis TestingStatistical Significance
2025/4/23