PreparED Study Materials
Notes
Videos
Probabilities with Poisson Variables X1 & X2
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Explore the complexities of two independent Poisson random variables, X1 and X2, with means ?1 = 2 and ?2 = 3. Understand the process of calculating specific event probabilities and the application of the Poisson formula. Key takeaways include the manipulation and interpretation of these statistical values.
Brand X vs. Brand Y: 95% Confidence in Voltage Difference
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Compare the voltages of Brand X and Brand Y batteries using statistical analysis. Learn how to determine a 95% confidence interval for their mean differences. Understand the process from data collection to interpretation of results.
Job Trends Analysis: Normal Approximation & Z-Values
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Explore the nuances of determining the likelihood of specific employment patterns using statistical methods. Understand the application of the normal approximation to the binomial distribution and the role of z-values in probability determinations. Gain clarity on interpreting employment trends with the help of a standard normal table.
Traffic Light Wait Time: Using Probability to Decode Delays
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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.
Cereal Box Weights: Z-Scores, Probabilities & Truth Behind Claims
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Explore the intricacies of evaluating cereal box weights using Z-scores and normal distribution. By examining both individual boxes and a sample mean, understand the probabilities of achieving certain weight values. Gain insights into how statistical tools help interpret real-world product claims.
Poisson Distribution in Event Count & Uranium Discovery
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Explore the dynamics of Poisson distribution using both theoretical understanding and a practical application related to discovering uranium deposits. With the help of Bayes' formula and parameter adjustments, interpret various probabilities and outcomes for event occurrences.