Probability and Statistics
Problems related to probability distributions, statistical inference, data analysis, etc.
Problems in this category
The image contains multiple-choice questions related to statistics. I will solve questions 16, 17, a...
StatisticsData AnalysisFrequency DistributionOgive CurveCumulative Frequency
2025/4/19
The problem provides the distribution of a discrete random variable $X$ and asks us to find the valu...
Discrete Random VariableProbability DistributionExpected ValueVarianceStandard DeviationModeDistribution Function
2025/4/17
A person decides to tease a neighbor's dog. The neighbor says that 30% of people teasing the dog get...
ProbabilityProbability DistributionGeometric DistributionDiscrete Random VariableDistribution SeriesProbability Polygon
2025/4/17
A person decides to tease a neighbor's dog. The dog bites in 30% of cases when people tease it. The ...
Probability DistributionRandom VariableGeometric DistributionProbability
2025/4/17
We are given the probability distribution of a discrete random variable $X$. The possible values of ...
Probability DistributionsDiscrete Random VariablesExpected ValueVarianceStandard DeviationCumulative Distribution FunctionMode
2025/4/17
There are 5 balls, 2 marked "Yes" and 3 unmarked. Five people draw the balls one by one without repl...
ProbabilityConditional ProbabilityCombinatorics
2025/4/16
The problem asks us to find the conditional probability that an animal will live beyond 25 years, gi...
Conditional ProbabilityProbabilityEvents
2025/4/16
We are given a dataset of pre-test scores ($X_1$) and post-test scores ($X_2$) for a group of studen...
Paired t-testStatistical SignificanceHypothesis TestingMeanStandard DeviationP-value
2025/4/14
We are given two sets of scores, Time 1 ($X_1$) and Time 2 ($X_2$), for 12 subjects. We need to cal...
Hypothesis TestingPaired t-testStatistical SignificanceMeanStandard Deviation
2025/4/14
The problem provides a table showing the performance of 10 students in Chemistry ($x$) and Physics (...
Descriptive StatisticsMeanScatter DiagramLinear Regression
2025/4/13