Mathematics 9709,61 Oct Nov 2024 | Cambridge AS - A Level Past Papers With Mark Scheme

1. Confidence Intervals & Hypothesis Testing | Constructing a 96% confidence interval, interpreting confidence intervals, and hypothesis testing for population means.

2. Probability Distributions & Normal Distribution | Comparing sums and differences of normal distributions, calculating probabilities using standard normal tables.

3. Unbiased Estimates & Sampling Distributions | Estimating population mean and variance, determining critical values for probabilities in sample distributions.

4. Probability Density Functions & Expectations | Verifying probability density function normalization, calculating expected values of transformations of random variables.

5. Significance Tests & Normal Approximation | Performing hypothesis tests on means, determining one-tailed vs. two-tailed tests, and calculating test statistics.

6. Poisson & Exponential Distributions | Poisson probabilities for arrival processes, calculating waiting times using exponential distributions, and approximations for large samples.

7. Errors in Hypothesis Testing & Type I/II Errors | Computing probabilities of Type I and Type II errors, evaluating test effectiveness, and approximating distributions for long-term trends.