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2 Unit 2: Applied Mathematics A

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Question 5
21%

The discrete random variable X∼B(30,0.58)X \sim B(30, 0.58)X∼B(30,0.58)

a.

Find P(X≥12)P(X \geq 12)P(X≥12)

[2]
b.

A cafe expects 30% of customers to order a coffee with their breakfast. On one particular day a random sample of 40 customers that ordered breakfast is taken and 19 of them ordered a coffee. Test at the 1% significance level whether the proportion of customers ordering a coffee had increased. State your hypotheses clearly.

[5]
c.

State the conclusion you would have reached if a 5% significance level had been used for this test.

[1]
Markscheme

2 Unit 2: Applied Mathematics A Questions

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

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