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Approximating a Binomial Distribution

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Question 38

A high-frequency trading system detects that the probability of a trade execution suffering from 'micro-latency' (a delay greater than 10ms) is 0.35. Trades are analyzed in independent batches of 240.

a.

Using a suitable approximation, estimate the probability that there are more than 80 trades with micro-latency in a single batch.

[4]
b.

A technician monitors 3 such independent batches. Estimate the probability that there are at least 81 trades suffering from micro-latency in each of the 3 batches.

[2]

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