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2.4 Statistical Distributions

2.4 Statistical Distributions

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Question 84

The auditorium for a talk has 80 seats. The proportion of ticket holders who are students is known to be 18%.

The number of students attending is modelled by X∼B(80,0.18)X\sim B(80,0.18)X∼B(80,0.18).

a.

State two features of the situation that support the stated binomial model.

[2]
b.

Find P(X≥12)P(X \ge 12)P(X≥12).

[1]
c.

Make two comments on whether it would be appropriate to use X X\,X to model the number of students attending the talk.

[2]
Markscheme

2.4 Statistical Distributions Questions

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

390 exam-style questions on OCR A Level Maths 2.4 Statistical Distributions, covering 2.4.1 Discrete probability distributions, 2.4.2 Binomial distribution as a model, 2.4.3 Calculating binomial probabilities, 2.4.4 Mean and variance of the binomial (A-level only), 2.4.5 Normal distribution as a model (A-level only), 2.4.6 Probabilities using the normal distribution (A-level only), 2.4.7 Links to histograms, mean and standard deviation (A-level only), and 2.4.8 Selecting an appropriate distribution (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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