The goals scored in a match are modelled by X∼Bin(10,0.15)X\sim\mathrm{Bin}(10,0.15)X∼Bin(10,0.15). A team plays 38 matches.
Find P(X≥3)P(X\geq3)P(X≥3).
Estimate the number of matches with no goals.
The observed numbers were 6 matches with at least three goals and 7 with no goals. Comment on the model using both results.
39 exam-style questions on CCEA A Level Maths 2.7 Statistical distributions, covering 2.7.1 Statistical distributions and 2.7.2 Statistical distributions. Each one has a worked solution and a mark scheme showing where the marks go.