Probability and Statistics

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

Problems in this category

There are 5 Colorado beetles and 4 ladybugs in a jar. As a result of the jar falling, four insects f...

ProbabilityCombinationsConditional ProbabilityCounting Techniques
2025/3/25

Two real numbers are chosen. The first number belongs to the interval $[-2, 2]$, and the second numb...

ProbabilityCalculusIntegrationArea CalculationGeometric Probability
2025/3/25

We have a jar containing 5 Colorado beetles and 4 ladybugs. Four insects fall out of the jar. We nee...

ProbabilityCombinationsConditional ProbabilityCounting Problems
2025/3/25

A standard six-sided die is rolled. We need to find the probability that the number rolled is higher...

ProbabilityDiceFavorable OutcomesProbability Calculation
2025/3/24

The problem asks which of the given options does NOT have an equal chance of occurring. A) Choose a ...

ProbabilityRandomnessEqually Likely Outcomes
2025/3/24

The problem states that Jon's experimental probability of striking out at baseball is 13%. We need t...

ProbabilityExperimental ProbabilityPercentageExpected ValueRounding
2025/3/24

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