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4 Unit A2 2: Applied Mathematics (A-level only)

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Question 271

Billy plays darts. He assumes that successive throws are independent, and his long-run probability of hitting the bullseye is 0.20.

a.

Billy throws 9 darts. Calculate the probability that at least 3 hit the bullseye.

[2]
b.

Billy believes he has improved. He throws 20 darts and 6 hit the bullseye. Test his belief at the 5% level of significance, stating your hypotheses clearly.

[4]
Markscheme

4 Unit A2 2: Applied Mathematics (A-level only) Questions

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