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**Scheme of work: Year 12 A-Level: Applied: Statistics: Statistical Distributions**

- Understand the meanings of terms used in probability;
- Calculate probabilities of single events;
- Identify and use sample spaces
- Draw and interpret Venn diagrams;
- Understand mutually exclusive and independent events and determine whether two events are independent
- Use and understand tree diagrams.

- Use simple, discrete probability distributions, including the binomial distribution;
- Identify the discrete uniform distribution;
- Calculate probabilities using the binomial distribution.
- Calculate cumulative probabilities using the binomial distribution

- Students need to understand what a discrete random variable is.
- A probability distribution can be a table, graph or mass function. Students need to be able to convert between the three and understand the specific benefits of each.
- The expected frequency E(X) is the average frequency at which you expect an event to occur. Students can calculate E(X) using the STAT mode on a ClassWiz calculator.
- Students need to know a binomial model can only be used to model a distribution when:
- there are a fixed number of trials

- there are precisely two outcomes
- there is a constant probability of success
- the trials are independent of each other

- Students need to be confident using the Binomial PD and CD functions on a Classwiz calculator as well as the tables provided in the formula booklet.
- The tables in the formula booklet can be recreated using the List function on a Classwiz calculator.

- Students are often confused about when to use Binomial PD and Binomial CD on a Classwiz calculator.
- Students often struggle using the cumulative function to work out probabilities greater than or at least a specific value.
- Students often struggle to set up a pair of simultaneous equations from a probability distribution. To do this, they use the expected value and the sum of the probabilities equalling one.

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A-Level Scheme of work: Edexcel A-Level Mathematics Year 2: Statistics: Regression, Correlation and Hypothesis Testing