Probability and Statistics
Problems related to probability distributions, statistical inference, data analysis, etc.
Problems in this category
We are given two uncorrelated random variables, $\epsilon$ and $\lambda$, with variances $Var[\epsil...
VarianceRandom VariablesLinear CombinationUncorrelated Variables
2025/5/14
A bag contains 4 marbles: 2 red, 1 blue, and 1 green. Amy removes one marble at a time from the bag....
ProbabilityCombinatoricsConditional ProbabilityPermutations
2025/5/14
The problem is to find the probability of a student scoring certain marks based on a given table sho...
ProbabilityData AnalysisFrequency Distribution
2025/5/13
The problem asks to find the probability of certain events based on the marks scored by 40 students ...
ProbabilityData AnalysisFrequency Distribution
2025/5/13
The problem provides a table of marks scored by 40 students in an objective test. The table shows th...
ProbabilityData AnalysisFrequency Distribution
2025/5/13
The problem provides a table of marks scored by 40 students in an objective test. The task is to fin...
ProbabilityData AnalysisFrequency DistributionCalculating Probabilities
2025/5/13
The problem asks us to find the value of $P$, where $P = -(U) - BUL$. The given information seems to...
Statistical AnalysisSummationData Interpretation
2025/5/12
The average lifetime of a light bulb is 6000 hours. We want to find the probability that the bulb wi...
ProbabilityProbability Density FunctionExponential DistributionIntegration
2025/5/10
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