Probability and Statistics
Problems related to probability distributions, statistical inference, data analysis, etc.
Problems in this category
The problem states that the probability of Shalini being late for school on any day is $1/6$. (i) We...
ProbabilityConditional ProbabilityTree Diagrams
2025/7/15
The problem states that a bag contains green, red, and blue balls. Anna picks a ball at random and p...
ProbabilityProbability DistributionsBasic ProbabilityConditional ProbabilityExpected Value
2025/7/14
The problem provides a table showing the weekly sales of 1000 traders at a flea market, categorized ...
Frequency DistributionFrequency DensityModal ClassData Analysis
2025/7/8
The problem asks us to perform a pooled t-test to determine if the average monthly sales of Product ...
Hypothesis Testingt-testPooled t-testStatistical SignificanceOne-tailed testSample Statistics
2025/7/8
The problem describes the expected returns of Asset A and Asset B over three years. The task is to d...
CorrelationFinancial MathematicsData Analysis
2025/7/8
The problem asks us to determine the correlation between the returns of Asset A and Asset B based on...
CorrelationCovarianceStandard DeviationFinancial MathematicsDescriptive Statistics
2025/7/8
The problem consists of three parts. (b)(i): Two fair-sided coins are tossed. List all the four poss...
ProbabilityCoin TossExponentsAlgebraic Equations
2025/7/7
A box contains 7 blue pens and 5 red pens. Four pens are randomly selected from the box. We want to ...
ProbabilityCombinationsConditional Probability
2025/7/3
The problem provides a table showing the mass (m grams) of letters and their corresponding frequenci...
HistogramsFrequency DensityData AnalysisProportionality
2025/7/2
The problem requires us to calculate an estimate of the mean travel time to school based on the give...
MeanFrequency DistributionGrouped DataEstimation
2025/7/1