Probability and Statistics
Problems related to probability distributions, statistical inference, data analysis, etc.
Problems in this category
The problem asks to test the significance of three chi-square tests given the sample size $N$, numbe...
Chi-square testStatistical SignificanceDegrees of FreedomEffect SizeCramer's VHypothesis Testing
2025/5/29
The problem asks us to compute the expected frequencies for the given contingency table. The conting...
Contingency TableExpected FrequenciesChi-squared Test
2025/5/29
The problem asks us to estimate the chi-square value when $n=23$ and $p=99$, given a table of chi-sq...
Chi-square distributionStatistical estimationInterpolation
2025/5/27
The problem consists of several parts related to statistics and probability. We need to: A. Define s...
Sample Standard DeviationProbabilitySample SpaceConditional ProbabilityMutually Exclusive EventsIndependent EventsProbability of Events
2025/5/27
We are given a statistical series of two variables and the regression line equation $y = 9x + 0.6$. ...
RegressionMeanStatistical Series
2025/5/24
Two distinct dice are thrown. We need to find the number of possible outcomes where the sum of the n...
ProbabilityDiscrete ProbabilityDiceCombinatorics
2025/5/21
The first problem asks: A pair of distinct dice are thrown. Find the number of possible outcomes if ...
ProbabilityCombinatoricsCounting
2025/5/21
The problem describes a scenario in a classroom with 24 students of different nationalities: 3 Engli...
ProbabilityCombinationsConditional Probability
2025/5/20
The problem is about calculating probabilities related to rolling two dice. (i) Find the probability...
ProbabilityDiceSample SpaceCombinationsConditional Probability
2025/5/19
The problem asks to find the value of $x$ in the dataset $\{12, x, 18, 15, 21\}$, given that the ran...
MeanRangeDatasetData Analysis
2025/5/19