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2.4 Probability Distributions

2.4 Probability Distributions

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Question 9

A hospital records whether each of 50 appointments is missed and proposes M∼B(50,0.12)M\sim B(50,0.12)M∼B(50,0.12).

a.

Find P(M≤5)P(M\leq5)P(M≤5).

[2]
b.

Over 200 clinics, estimate the number with more than 8 missed appointments.

[2]
c.

Explain two ways in which appointment data could violate the binomial assumptions.

[2]
Markscheme

2.4 Probability Distributions Questions

  1. A Level
  2. /Maths
  3. /2.4 Probability Distributions

390 exam-style questions on OCR (MEI) A Level Maths 2.4 Probability Distributions, covering 2.4.1 Recognise binomial situations, 2.4.2 Probability of success p, 2.4.3 Calculate binomial probabilities, 2.4.4 Mean of the binomial distribution, 2.4.5 Expected frequencies for binomial, 2.4.6 Probability functions and discrete random variables, 2.4.7 Numerical probabilities for a simple distribution, 2.4.8 Normal distribution as a model (A-level only), 2.4.9 Shape of the Normal curve (A-level only), 2.4.10 Linear transformation and standardising (A-level only), 2.4.11 Symmetry and inflection of Normal curve (A-level only), 2.4.12 Calculate probabilities from a Normal distribution (A-level only), 2.4.13 Model with probability distributions, and 2.4 Probability Distributions. Each one has a worked solution and a mark scheme showing where the marks go.

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