Erik is investigating whether the number of goals scored by a football team in a game can be modelled using a binomial distribution. He uses the random variable X X\,X to denote the number of goals scored in a game and believes X∼B(8,0.2)X \sim B(8, 0.2)X∼B(8,0.2)
The team play 40 games. Last season the team scored no goals in 7 out of 40 matches and scored 3 or more goals in 8 out of 40 matches. Using Erik's model, explain whether or not these results support Erik's model.
215 exam-style questions on Edexcel A Level Maths Statistical Distributions, covering 6.1 Probability Distributions, 6.2 The Binomial Distribution, and 6.3 Cumulative Probabilities. Each one has a worked solution and a mark scheme showing where the marks go.