PreparED Study Materials
Notes
Videos
ACT Score Bet: Who Owes the Pizza? A 7.6% Chance Explained
Want To Learn More? To watch the entire video and ALL of the videos in the series:
full solution
Discover the friendly bet between Leona and Fred surrounding their ACT scores and who owes who a pizza. Using statistical principles like Z-scores and the normal distribution, we'll decipher the odds of one outperforming the other by 5 points.
Traffic Light Wait Time: Using Probability to Decode Delays
Want To Learn More? To watch the entire video and ALL of the videos in the series:
full solution
Explore the mathematical intricacies behind calculating the waiting time for a motorist at traffic lights. Learn about normal random variables, conditional probabilities, and the challenges in determining specific waiting durations.
Analyzing Voter Demographics: Independence & Exclusivity
Want To Learn More? To watch the entire video and ALL of the videos in the series:
full solution
Analyze the relationships between different political affiliations and age groups. Determine whether certain events are independent, mutually exclusive, or neither, based on the provided probabilities. The findings offer a nuanced understanding of voter demographics and their interdependencies.
Chi-Square Observations: Probability of Exceeding 7.779
Want To Learn More? To watch the entire video and ALL of the videos in the series:
full solution
Discover how to compute the likelihood of observations exceeding a certain value in a chi-square distribution with 4 degrees of freedom. Using the binomial distribution formula, evaluate the chances of at most 3 out of 15 observations surpassing the 7.779 mark. Results highlight the intricacies of data distributions.
Analyzing Student Homework Times: Quartiles & Data Insights
Want To Learn More? To watch the entire video and ALL of the videos in the series:
full solution
Examine a dataset that tracks student homework durations. Understand quartiles, the interquartile range, and skewness in the data. Discover insights into typical study durations and outlier behaviors.
Evaluating Expressions Using a Set of Scores
Want To Learn More? To watch the entire video and ALL of the videos in the series:
full solution
Discover the methodology behind evaluating various mathematical expressions using a given set of scores. By interpreting and applying summation notation, learn how to compute the desired results from a set of numbers. Key conclusions showcase the step-by-step calculations and their significance.

