Probability and Statistics

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

Problems in this category

Mr. Bernard drove 46, 4, 64, 50, and 56 miles on his last five trips. We need to calculate the mean,...

Descriptive StatisticsMeanMedianModeData Analysis
2025/3/24

The problem asks us to find the total number of festivals represented in the histogram. The histogra...

Data InterpretationHistogramsSummation
2025/3/24

The problem asks us to find the number of hostel rooms that have 11 or fewer guests, given a histogr...

Data AnalysisHistogramsFrequency Distribution
2025/3/24

The histogram shows the number of balls made in each game of Watson's Billiards Tournament. The que...

Data InterpretationHistogramsSummation
2025/3/24

The problem asks us to determine how many more pumpkins have a mass between 9 and 12 kg than between...

Data InterpretationBar GraphSubtractionStatistics
2025/3/24

The problem asks to find the z-score for different sample means ($\bar{X}$) given a population mean ...

Z-scoreSample MeanStandard DeviationStatistical Inference
2025/3/24

The problem involves analyzing data from a bar graph and two pie charts showing the number of books ...

Data AnalysisBar GraphPie ChartPercentageProblem Solving
2025/3/23

In a particular locality, 25 people like walking, 22 people like running, and 15 people like cycling...

Venn DiagramsSet TheoryInclusion-Exclusion PrincipleCombinatorics
2025/3/21

Two people, A and B, each have a bag containing three cards numbered 1, 2, and 3. They each draw a c...

ProbabilityCombinatoricsBernoulli TrialsConditional Probability
2025/3/21

We are given data representing the marks obtained by 10 students in a mid-semester test ($x$) and an...

Regression AnalysisScatter PlotLinear RegressionCorrelationMeanStatistical Analysis
2025/3/21