# Category: Unit 4

Investigate finding the area under a curve – integration. Use the sliders to change the boundaries. You can also modify the function being graphed.

- Sample proportions
- Sampling distribution – small populations
- Sampling distribution – large populations
- Sampling distribution – normal distribution approximation
- Mean & variance of a sample proportion
- Sampling distribution – comparing approximations
- Confidence intervals
- Margin of error

- Probability density functions
- Calculating probabilities
- Median value
- Mean value
- Variance
- Cumulative probability distributions

- Area under curves
- Left end-point approximation
- Right end-point approximation
- Improvements to rectangle approximations
- Find the total from a rate

Categories

## Integration

- Find the total from a rate
- Anti-differentiation
- Rules for anti-differentiation
- Examples of anti-derivative functions
- Finding the original function
- Area under a curve – integration
- Signed area

- The coin toss – three coins
- The coin toss – four coins
- The binomial probability distribution
- Rolling dice
- How many trials?
- Using the TI nSpire
- Graph of binomial distribution
- Mean & standard deviation

- Continuous probability density functions
- The normal distribution
- Calculating probabilities
- Z tables
- Finding values from a probability

- Probability distributions
- Discrete random variables
- Expected values (mean)
- Variance
- Linear functions – mean & standard deviation
- Standard deviation