Why is the following not a probability model?
Table of contents
- 1. Intro to Stats and Collecting Data1h 14m
- 2. Describing Data with Tables and Graphs1h 55m
- 3. Describing Data Numerically2h 5m
- 4. Probability2h 16m
- 5. Binomial Distribution & Discrete Random Variables3h 6m
- 6. Normal Distribution and Continuous Random Variables2h 11m
- 7. Sampling Distributions & Confidence Intervals: Mean3h 23m
- Sampling Distribution of the Sample Mean and Central Limit Theorem19m
- Distribution of Sample Mean - Excel23m
- Introduction to Confidence Intervals15m
- Confidence Intervals for Population Mean1h 18m
- Determining the Minimum Sample Size Required12m
- Finding Probabilities and T Critical Values - Excel28m
- Confidence Intervals for Population Means - Excel25m
- 8. Sampling Distributions & Confidence Intervals: Proportion1h 25m
- 9. Hypothesis Testing for One Sample3h 29m
- 10. Hypothesis Testing for Two Samples4h 50m
- Two Proportions1h 13m
- Two Proportions Hypothesis Test - Excel28m
- Two Means - Unknown, Unequal Variance1h 3m
- Two Means - Unknown Variances Hypothesis Test - Excel12m
- Two Means - Unknown, Equal Variance15m
- Two Means - Unknown, Equal Variances Hypothesis Test - Excel9m
- Two Means - Known Variance12m
- Two Means - Sigma Known Hypothesis Test - Excel21m
- Two Means - Matched Pairs (Dependent Samples)42m
- Matched Pairs Hypothesis Test - Excel12m
- 11. Correlation1h 24m
- 12. Regression1h 50m
- 13. Chi-Square Tests & Goodness of Fit2h 21m
- 14. ANOVA1h 57m
4. Probability
Basic Concepts of Probability
Problem 5.1.58
Textbook Question
You are planning a trip to a water park tomorrow and the weather forecaster says there is a 70% chance of rain. Explain what this result means.
Verified step by step guidance1
Understand that a probability of 70% (or 0.7) means that, based on the forecaster's model and data, rain is expected to occur in 70 out of 100 similar weather situations.
Recognize that this probability does not guarantee rain will happen tomorrow; it only quantifies the likelihood or chance of rain based on current information.
Interpret the 70% chance of rain as a measure of uncertainty, reflecting how confident the forecaster is that rain will occur.
Note that this probability is derived from historical weather patterns, atmospheric data, and statistical models used by meteorologists.
Conclude that while there is a high chance of rain, it is still possible that it may not rain, so planning should consider this uncertainty.
Verified video answer for a similar problem:This video solution was recommended by our tutors as helpful for the problem above
Video duration:
2mPlay a video:
Was this helpful?
Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Probability
Probability measures the likelihood of an event occurring, expressed as a number between 0 and 1 or as a percentage. A 70% chance of rain means that, based on current data and models, rain is expected to occur in 70 out of 100 similar situations.
Recommended video:
Introduction to Probability
Interpretation of Weather Forecasts
Weather forecasts use probability to communicate uncertainty about future events. A 70% chance of rain does not guarantee rain but indicates a high likelihood, helping people make informed decisions about their plans.
Recommended video:
Empirical Rule of Standard Deviation and Range Rule of Thumb
Randomness and Uncertainty
Weather outcomes are influenced by many unpredictable factors, making forecasts inherently uncertain. The 70% chance reflects this uncertainty, acknowledging that rain may or may not happen despite the high probability.
Recommended video:
Guided course
Intro to Random Variables & Probability Distributions
Watch next
Master Introduction to Probability with a bite sized video explanation from Patrick
Start learningRelated Videos
Related Practice
Textbook Question
3
views
