Specification Ref. Learning outcomes Notes Notation Exclusions Be able to use probability functions, given algebraically Restricted to simple finite distributions. X for the random Discrete MR6 or in tables. Know the term discrete random variable. variable. probability distributions x or r for a value of the random variable. E(X) Be able to calculate the numerical probabilities for a Restricted to simple finite distributions. Calculation of R7 simple distribution. Understand the term discrete Var(X). or uniform distribution. Situations which give rise to a binomial distribution An experiment or trial is conducted a fixed number of times. There are exactly 2 outcomes, which can be thought of as or “success” “failure”. The probability of the same each time. “success” is The probability of on any trial is independent of what has happened in previous trials. “success” The random variable of interest is number of “the successes”. Specification Ref. Learning outcomes Notes Notation Exclusions STATISTICS: PROBABILITY DISTRIBUTIONS (2) Includes recognising when a Normal Knowing conditions Normal MR8 Be able to use the Normal distribution as a model. distribution may not be appropriate. for Normal distribution approximation to Understand how and why a continuity binomial. correction is used when using a Normal distribution as a model for a distribution of discrete data. Recognise from the shape of the distribution when a binomial distribution can be approximated by a Normal distribution.
Specification Ref. Learning outcomes Notes Notation Exclusions Discrete probability distributions MR6 Be able to use probability functions, given algebraically or in tables. Know the term discrete random variable. Restricted to simple finite distributions. X for the random variable. x or r for a value of the random variable. R7 Be able to calculate the numerical probabilities for a simple distribution. Understand the term discrete uniform distribution. Restricted to simple finite distributions. Calculation of E(X) or Var(X). Situations which give rise to a binomial distribution An experiment or trial is conducted a fixed number of times. There are exactly 2 outcomes, which can be thought of as “success” or “failure”. The probability of “success” is the same each time. The probability of “success” on any trial is independent of what has happened in previous trials. The random variable of interest is “the number of successes”. Specification Ref. Learning outcomes Notes Notation Exclusions STATISTICS: PROBABILITY DISTRIBUTIONS (2) Normal distribution MR8 Be able to use the Normal distribution as a model. Includes recognising when a Normal distribution may not be appropriate. Understand how and why a continuity correction is used when using a Normal distribution as a model for a distribution of discrete data. Recognise from the shape of the distribution when a binomial distribution can be approximated by a Normal distribution. Knowing conditions for Normal approximation to binomial.
418252-statistics-probability-distributions-delivery-guide.docx