Mathematics 9709,51 Oct Nov 2024 | Cambridge AS - A Level Past Papers With Mark Scheme

1. Geometric & Negative Binomial Distributions | Dice Throwing Probabilities – Calculating probabilities for first and second occurrences of a specific event in a sequence of independent trials.

2. Discrete Probability Distributions | Variance & Probability Tables – Constructing a probability distribution table, normalizing probabilities, and computing variance.

3. Cumulative Frequency & Data Analysis | Median, IQR, and Mean Estimation – Using cumulative frequency graphs to estimate statistical measures from grouped data.

4. Conditional Probability & Tree Diagrams | Marble Selection from Two Bags – Determining probabilities of selecting marbles based on sequential dependent events.

5. Normal Distribution & Approximation | Apple Weights & Probabilities – Computing probabilities for normally distributed data and applying the normal approximation to a binomial distribution.

6. Inverse Normal Distribution & Sampling | Heights of Female Students – Estimating population parameters from given probabilities and computing probability for a sample condition.

7. Permutations, Combinations & Probability | Letter Arrangements & Selection – Counting distinct letter arrangements with constraints and determining selection probabilities.