Erik models the number X X\,X of goals scored by a football team in a match using X∼B(10,0.15)X\sim B(10,0.15)X∼B(10,0.15).
Find P(X≥3)P(X\geq3)P(X≥3).
The team plays 38 matches. Find the expected number of matches in which it scores no goals.
In one season the team scored no goals in 7 matches and scored at least 3 goals in 6 matches. Discuss whether these observations support Erik's model.
47 exam-style questions on WJEC A Level Maths 2.4 Statistical distributions, covering 2.4.1 Statistical distributions, 2.4.2 Statistical distributions, and 2.4.3 Statistical distributions. Each one has a worked solution and a mark scheme showing where the marks go.