Probability and Statistics

Problems related to probability distributions, statistical inference, data analysis, etc.

Problems in this category

The average time to get an order at a restaurant is 15 minutes. We need to find the probability tha...

ProbabilityExponential DistributionDefinite IntegralCalculus
2025/5/10

The scores of a midterm exam are normally distributed with a mean $\mu = 70$ and a standard deviatio...

Normal DistributionZ-scoreProbabilityStatistics
2025/5/10

We are given summary data for two variables: extroversion ($x$) and volunteering ($y$). We need to c...

Regression AnalysisLinear RegressionStatistical SignificanceF-testCorrelationHypothesis Testing
2025/5/8

The problem describes a situation where we want to test if the draft rankings of a fantasy football ...

Regression AnalysisF-testStatistical SignificanceHypothesis TestingVarianceDegrees of Freedom
2025/5/8

The problem asks us to compute the line of best fit (regression line) predicting success (denoted by...

RegressionLine of Best FitCorrelation CoefficientStatistical Analysis
2025/5/8

The problem is to complete an ANOVA table, given the following information: * Source: Model, Error...

ANOVAStatisticsHypothesis TestingF-test
2025/5/8

We need to complete the ANOVA table for a simple linear regression. We are given the following info...

ANOVALinear RegressionStatistical AnalysisF-statisticDegrees of FreedomSum of SquaresMean Square
2025/5/8

A group of 300 mathematics teachers are classified into four categories: University Graduates (120),...

Data AnalysisFractionsPie ChartPercentagesProportions
2025/5/8

The image contains a table of X and Y values. The task is to extract the Y values and present them a...

Data AnalysisData ExtractionVariational SeriesSorting
2025/5/7

The problem requires us to analyze the 'X' data presented in the image. Based on the title which tr...

Data AnalysisDescriptive StatisticsData Extraction
2025/5/7