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The Normal Distribution

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Question 73

In a manufacturing facility for precision sensors, the probability of a sensor having a calibration error is p=0.12p = 0.12p=0.12. Errors occur independently in each sensor.

a.

Find the probability that in a random sample of 25 sensors, there will be

(i) exactly 4 sensors with a calibration error,

(ii) at least 6 sensors with a calibration error.

[4]
b.

In a large batch of 600 sensors, use a suitable approximation to find the probability that the number of sensors with calibration errors is more than 80.

[5]
Markscheme

The Normal Distribution Questions

  1. A Level
  2. /Maths
  3. /The Normal Distribution

616 exam-style questions on Edexcel A Level Maths The Normal Distribution, covering 3.1 The Normal Distribution, 3.2 Finding Probabilities for Normal Distributions, 3.3 The Inverse Normal Distribution Function, 3.4 The Standard Normal Distribution, 3.5 Finding the mean and standard deviation, 3.6 Approximating a Binomial Distribution, and 3.7 Hypothesis Testing with the Normal Distribution. Each one has a worked solution and a mark scheme showing where the marks go.

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