Logo
Chaindesk

NCEA Level 2 Probability Methods 2022 Exam Walkthrough

Summary

The video explores various probability calculations related to water usage in New Zealand. It discusses the likelihood of specific water usage patterns, factors affecting probabilities during water shortages, and assessing river safety based on data. The video covers estimating mean water usage for businesses, risks associated with different locations, and using survey data to analyze water conservation concerns. It also evaluates the implications of sample representation when generalizing survey findings to the broader population.

Question 1: Probability in Normal Distribution

Solving a probability question involving normal distribution to find the probability of certain water usage in New Zealand.

Question 2a: Probability for Two New Zealanders

Calculating the probability for two New Zealanders chosen at random to use a specific amount of water per day.

Question 2b: Adjusting Probability for Water Shortage

Explaining how the probability would change if the water shortage affects the chosen individuals.

Question 2c: Analyzing Shower Data Distribution

Discussing the characteristics of shower time data and comparing them to a normal distribution model.

Question 2d: Determining Longest Acceptable Shower Time

Calculating the longest shower time considered acceptable by Suzanne based on the survey data.

Question 2e: Business Water Usage Analysis

Estimating the mean water usage for businesses based on given data and normal distribution.

Question 2f: Addressing Outliers in Business Water Usage

Discussing the implications of a small percentage of businesses using excessive water and its impact on the analysis.

Question 3: Probability of River Safety

Calculating the probabilities related to river safety based on survey data and land types.

Question 4: Estimating Unsafe Rivers Percentage

Estimating the percentage of unsafe rivers in New Zealand based on given data and survey proportions.

Question 5: Evaluating Probability Confidence

Assessing the confidence level in the calculated probability for all New Zealand rivers based on survey data.

Question 6: Holiday Decision based on River Safety

Determining the probability of choosing a safe river for swimming among popular river sites in the North and South Islands.

Calculation of Relative Risk

Explanation and calculation of relative risk using probabilities and divisions based on North Island and South Island data.

Probability Calculation

Calculating the probability of being unsafe given the location in North Island and South Island, and evaluating Joe's claim with Mia's incorrect reasoning.

Water Use Survey Analysis

Analyzing a survey about water use concerns in New Zealand, calculating probabilities, and assessing the likelihood of saving water under various conditions.

Secondary School Survey

Discussion on a secondary school survey on climate change and water concerns, calculating probabilities, and evaluating the findings.

Validity of Generalization

Examining the validity of generalizing survey findings to the general population based on survey methods and sample representation.

Logo

Get your own AI Agent Today

Thousands of businesses worldwide are using Chaindesk Generative AI platform.
Don't get left behind - start building your own custom AI chatbot now!