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2 Unit 2: Applied Mathematics A

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Question 52

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).

a.

Find P(X≥3)P(X\geq3)P(X≥3).

[2]
b.

The team plays 38 matches. Find the expected number of matches in which it scores no goals.

[2]
c.

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.

[2]
Markscheme

2 Unit 2: Applied Mathematics A Questions

  1. A Level
  2. /Maths
  3. /2 Unit 2: Applied Mathematics A

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