Probability and Statistics

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

Problems in this category

We are given a set of student marks and asked to determine the correct class intervals using an incl...

Data AnalysisFrequency DistributionClass IntervalsMeanMedianModePercentilesDecilesDescriptive Statistics
2025/3/13

We are given a dataset of marks from 55 students. We need to answer questions 8 and 9 related to cla...

Data AnalysisFrequency DistributionClass IntervalsStatistics
2025/3/13

There are 15 students that are assigned to three classes evenly, meaning each class has 5 students. ...

ProbabilityCombinatoricsCombinationsConditional Probability
2025/3/13

A fair coin is tossed three times. What is the probability of tossing at least two tails?

ProbabilityCoin TossConditional ProbabilityCombinatorics
2025/3/12

A spinner is divided into three equal parts: red, blue, and green. Hayley spins the spinner twice. W...

ProbabilityIndependent EventsSpinnerProbability Calculation
2025/3/12

Dalton plans to roll a fair 6-sided die 300 times. We need to find the best prediction for the numbe...

ProbabilityExpected ValueDiscrete ProbabilityDie Roll
2025/3/12

A bag contains $a$ white balls and $b$ red balls. $k$ individuals sequentially draw a ball from the ...

ProbabilityConditional ProbabilityCombinatoricsSamplingWith ReplacementWithout Replacement
2025/3/12

We have a total of $N$ products, among which $D$ are defective. We randomly select $n$ products. We ...

ProbabilityCombinationsHypergeometric Distribution
2025/3/12

The problem asks us to find the mean and coefficient of variation for the given data. The data repre...

MeanStandard DeviationCoefficient of VariationDescriptive StatisticsFrequency Distribution
2025/3/12

The problem is to find the mean and the coefficient of variation of a dataset. The data is given in ...

Descriptive StatisticsMeanFrequency DistributionCoefficient of VariationGrouped Data
2025/3/12