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

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Question 211

The discrete random variable X∼Bin⁡(20,0.41)X\sim\operatorname{Bin}(20,0.41)X∼Bin(20,0.41).

a.

Find P(3<X≤7)P(3<X\leq7)P(3<X≤7).

[2]
b.

Previous research by a restaurant found that 30% of customers order a starter. On one day, 7 of a random sample of 40 customers order a starter. Test at the 5% level of significance whether the population proportion ordering a starter has decreased. State your hypotheses clearly.

[5]
c.

State the conclusion that would be reached at the 10% level of significance.

[1]
Markscheme

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

  1. A Level
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