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2.4 Statistical Distributions

2.4 Statistical Distributions

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Question 103

A delivery company records whether each parcel arrives late. The probability that any parcel is late is modelled as 0.14, independently of every other parcel. A random sample of 45 parcels is taken, and X X\,X is the number that arrive late.

a.

State two conditions required for X X\,X to have a binomial distribution.

[2]
b.

Find P(X=6)P(X = 6)P(X=6).

[1]
c.

Find P(5≤X≤9)P(5 \le X \le 9)P(5≤X≤9).

[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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