probabilities of mutually exclusive and independent events using Venn diagrams and tree diagrams. 2 Discrete and continuous distributions Identify a discrete uniform M1 link to discrete and You will use knowledge 13.2 – – distribution continuous distributions from Chapter 12 Data Ex 13.2A part 1 presentation and The term discrete and continuous data is interpretation recapped. A discrete random variable is then defined. Probability distribution tables are used to show all the possible values a discrete random variable can take along with the probability of each value occurring. When all events are equally likely they form a uniform distribution. Students go on to probability distributions of a random variable. Identify a discrete uniform 3 Discrete and continuous distributions M1 link to discrete and You will use knowledge 13.2 – – distribution continuous distributions from Chapter 12 Data Ex 13.2B part 2 presentation and Continuous random variables are interpretation considered and when graphed a continuous line is used. The graph is called a probability density function (PDF), the area under a pdf shows the probability and sums to 1. Students then go on to find cumulative probabilities. Use a calculator to find individual or 4 The binomial distribution N1 understand and use simple, You will need the skills and 13.3 – cumulative binomial probabilities discrete probability distributions techniques learnt in Ex 13.3A Binomial distribution is about Calculate binomial probabilities ‘success’ (calculation of mean and variance Chapter 1 Algebra and and as there are only two possible using the notation of discrete random variables functions 1: Manipulating ‘failure’ outcomes to each trail. Students identify excluded), including the binomial algebraic expressions situations which can be modelled using distribution, as a model; calculate probabilities using the binomial Knowing how to calculate the binomial distribution. They then distribution binomial probabilities will calculate probabilities using the binomial help you in Chapter 14
probabilities of mutually exclusive and independent events using Venn diagrams and tree diagrams. 2 Discrete and continuous distributions – part 1 The term discrete and continuous data is recapped. A discrete random variable is then defined. Probability distribution tables are used to show all the possible values a discrete random variable can take along with the probability of each value occurring. When all events are equally likely they form a uniform distribution. Students go on to probability distributions of a random variable. Identify a discrete uniform distribution M1 – link to discrete and continuous distributions You will use knowledge from Chapter 12 Data presentation and interpretation 13.2 Ex 13.2A 3 Discrete and continuous distributions – part 2 Continuous random variables are considered and when graphed a continuous line is used. The graph is called a probability density function (PDF), the area under a pdf shows the probability and sums to 1. Students then go on to find cumulative probabilities. Identify a discrete uniform distribution M1 – link to discrete and continuous distributions You will use knowledge from Chapter 12 Data presentation and interpretation 13.2 Ex 13.2B 4 The binomial distribution Binomial distribution is about ‘success’ and ‘failure’ as there are only two possible outcomes to each trail. Students identify situations which can be modelled using the binomial distribution. They then calculate probabilities using the binomial Use a calculator to find individual or cumulative binomial probabilities Calculate binomial probabilities using the notation N1 – understand and use simple, discrete probability distributions (calculation of mean and variance of discrete random variables excluded), including the binomial distribution, as a model; calculate probabilities using the binomial distribution You will need the skills and techniques learnt in Chapter 1 Algebra and functions 1: Manipulating algebraic expressions Knowing how to calculate binomial probabilities will help you in Chapter 14 13.3 Ex 13.3A
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