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Northern IrelandMathsQuick questions

A2 2 Applied Mathematics

Quick questions on The normal distribution: standardising, probabilities and the approximation to the binomial - CCEA A-Level Mathematics

3short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is q1?
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For X∼N(50,52)X \sim N(50, 5^2), find the zz-value of X=60X = 60. [2 marks]
What is q2?
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Given Φ(1)=0.8413\Phi(1) = 0.8413, find P(Z>1)P(Z > 1). [1 mark]
What is q3?
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State the mean and variance of the normal approximation to B(100,0.4)B(100, 0.4). [2 marks]

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