Understand the binomial Each plate is either blue or not blue, independently of each B1 2.4 distribution (and other, with constant probability and there is a fixed number of its notation) and them. its use as a (2) 7b ~ B(10, 0.06) (could be seen in part a) B1 2.5 5th X Calculate P(X > 2) = 1 P(X M1 3.4 –  binomial probabilities. = 1 0.981162163… from calculator – = awrt0.0188378… A1 1.1b (3) (5 marks) Notes 7a Ignore any parameter values given for the first B1. For second B1 all four points must be made with some context. Pearson Progression Step Q Scheme Marks AOs and Progress descriptor There is a fixed number of trials. B1 1.2 5th 8a Understand the Each trial results in 1 of 2 outcomes, and B1 1.2 ‘success’ ‘failure’. binomial distribution (and Probability of success on each trial is the same. B1 1.2 its notation) and The trials are independent. B1 1.2 its use as a model. (4) B1 3.3 P(X = 5) =; P(X 5) =  5th 8bi B1 1.1b (either may be implied in either part) Calculate binomial Idea of five failures followed by a success (or 0 successes out of M1 3.4 probabilities. five and then a success) seen or implied. P(5 on sixth throw) = M1 1.1b = awrt 0.0531 A1 1.1b (5)
Understand the binomial distribution (and its notation) and its use as a Each plate is either blue or not blue, independently of each other, with constant probability and there is a fixed number of them. B1 2.4 (2) 7b X ~ B(10, 0.06) (could be seen in part a) B1 2.5 5th Calculate binomial probabilities. P(X > 2) = 1 – P(X  = 1 – 0.981162163… from calculator M1 3.4 = awrt0.0188378… A1 1.1b (3) (5 marks) Notes 7a Ignore any parameter values given for the first B1. For second B1 all four points must be made with some context. Q Scheme Marks AOs Pearson Progression Step and Progress descriptor 8a There is a fixed number of trials. B1 1.2 5th Understand the binomial distribution (and its notation) and its use as a model. Each trial results in 1 of 2 outcomes, ‘success’ and ‘failure’. B1 1.2 Probability of success on each trial is the same. B1 1.2 The trials are independent. B1 1.2 (4) 8bi P(X = 5) =; P(X  5) = (either may be implied in either part) B1 B1 3.3 1.1b 5th Calculate binomial probabilities. Idea of five failures followed by a success (or 0 successes out of five and then a success) seen or implied. M1 3.4 P(5 on sixth throw) = M1 1.1b = awrt 0.0531 A1 1.1b (5)
as_maths_statistics_unit_4_ms.docx