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Approximating a Binomial Distribution

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Question 28

An environmental scientist finds that the probability of a soil sample from a specific industrial region containing high levels of lead is 0.08. Samples are collected independently.

a.

In a random selection of 50 soil samples, determine the probability that at least 7 samples contain high levels of lead.

[3]
b.

A construction company analyzes a large batch of 600 soil samples. The entire site undergoes a mandatory decontamination process if more than 60 samples in the batch are found to have high lead levels.

Use a suitable approximation to estimate the probability that the site undergoes the decontamination process.

[5]

Approximating a Binomial Distribution Questions

  1. A Level
  2. /Maths
  3. /Approximating a Binomial Distribution

Practise Edexcel A Level Maths Approximating a Binomial Distribution with exam-style questions for A Level Maths. 68 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank