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2.4 N: Statistical distributions

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Question 173

A machine produces components. The probability that any component is faulty is 0.12, independently of every other component. A random sample of 50 components is taken, and X X\,X is the number of faulty components in the sample.

a.

Find the mean and the variance of XXX.

[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 N: Statistical distributions Questions

  1. A Level
  2. /Maths
  3. /2.4 N: Statistical distributions

390 exam-style questions on AQA A Level Maths 2.4 N: Statistical distributions, covering 2.4.1 Discrete distributions and the binomial, 2.4.2 The Normal distribution (A-level only), and 2.4.3 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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