Probability and Statistics
Problems related to probability distributions, statistical inference, data analysis, etc.
Problems in this category
The problem asks us to determine whether statements regarding the five-number summary of the sum of ...
Descriptive StatisticsFive-Number SummaryPercentilesDice Rolls
2025/3/27
We have a box with 4 products, 3 first-grade and 1 second-grade. Two products are drawn sequentially...
Conditional ProbabilityProbabilityCombinatoricsWithout Replacement
2025/3/27
Part A: We need to develop a probability model based on the given information (100 people bought gum...
ProbabilityProbability DistributionsRatioStatistical Analysis
2025/3/26
Given that the probability of selecting a red pepper, $P(\text{red pepper}) = \frac{3}{5}$, we need ...
ProbabilityBasic ProbabilityProbability ModelsComplementary Probability
2025/3/26
A survey was conducted asking 600 people their favorite genre of book. The table shows the number of...
ProbabilityStatisticsData AnalysisFrequency Distribution
2025/3/26
A bag contains 14 green, 12 orange, and 19 purple tennis balls. a. Create a probability model for ch...
ProbabilityProbability ModelExpected ValueCombinatorics
2025/3/26
We have 3 balls and 4 cups. We randomly place the balls into the cups. We want to find the probabili...
ProbabilityCombinatoricsBalls and CupsDistributions
2025/3/26
A set of 10 pills contains 5 placebo pills. (i) 5 pills are randomly selected from the set. What is ...
ProbabilityCombinationsConditional ProbabilityWithout Replacement
2025/3/26
There are 5 Colorado beetles and 4 ladybugs in a jar. Four insects fall out of the jar. We need to f...
ProbabilityCombinationsCounting
2025/3/25
We are given two real numbers. The first number, $x$, lies in the interval $[-2, 2]$. The second num...
ProbabilityGeometric ProbabilityIntegrationArea Calculation
2025/3/25