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Further Statistics

Quick questions on Discrete probability distributions: expectation and variance - Edexcel A-Level Further Maths

4short 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 probabilities not summing to one?
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Always check ∑P=1\sum P = 1 (or use it to find an unknown constant) before using the distribution.
What is q1?
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XX has E(X)=4E(X) = 4 and Var⁡(X)=3\operatorname{Var}(X) = 3. Find Var⁡(2X+5)\operatorname{Var}(2X + 5). [2 marks]
What is q2?
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For the same XX, find E(2X+5)E(2X + 5). [1 mark]
What is q3?
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A variable has E(X)=2E(X) = 2 and E(X2)=7E(X^2) = 7. Find its variance. [2 marks]

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