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AS 2 Applied Mathematics

Quick questions on Probability and discrete distributions: combined events, expectation, and the binomial model - CCEA 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 the binomial distribution?
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Forgetting the binomial coefficient. P(X=r)P(X = r) includes (nr)\binom{n}{r} to count the ways the successes can be arranged; leaving it out undercounts the probability.
What is q1?
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Events AA and BB are mutually exclusive with P(A)=0.3P(A) = 0.3, P(B)=0.4P(B) = 0.4. Find P(A∪B)P(A \cup B). [1 mark]
What is q2?
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For X∼B(10,0.3)X \sim B(10, 0.3), write down E(X)E(X). [1 mark]
What is q3?
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A discrete variable has P(X=0)=0.6P(X = 0) = 0.6, P(X=1)=0.4P(X = 1) = 0.4. Find E(X)E(X). [1 mark]

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