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VICMath MethodsQuick questions

Unit 2: Functions, calculus and probability

Quick questions on The binomial distribution (VCE Maths Methods Unit 2)

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 are boundary slips on cumulative probabilities?
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P(X≥k)=1−P(X≤k−1)P(X \ge k) = 1 - P(X \le k - 1), not 1−P(X≤k)1 - P(X \le k).
What is q1?
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For X∼Bin(12,0.25)X \sim \text{Bin}(12, 0.25), find E[X]E[X] and Var(X)\text{Var}(X). [2 marks]
What is q2?
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A spinner lands on red with probability 0.40.4. It is spun 66 times. Find the probability of exactly 22 reds.
What is q3?
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A test has 1010 true/false questions answered by guessing (p=0.5p = 0.5). Find the probability of getting at most 11 correct. [3 marks]

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