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4.1 Probability (A-level only)

4.1 Probability (A-level only)

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Question 86

A quality control engineer monitors a semiconductor fabrication process for two specific types of defects: alignment errors (EAE_AEA​) and bonding errors (EBE_BEB​).

Data from the production line indicates that:

P(EA∩EB)=0.15 P(E_A \cap E_B) = 0.15 P(EA​∩EB​)=0.15 P(EA′∩EB′)=0.25 P(E_A' \cap E_B') = 0.25 P(EA′​∩EB′​)=0.25 P(EB)=2P(EA) P(E_B) = 2P(E_A) P(EB​)=2P(EA​)
a.

Find P(EA)P(E_A)P(EA​).

[4]
b.

Calculate the conditional probability P(EB∣EA)P(E_B | E_A)P(EB​∣EA​).

[2]
c.

Determine if the events EAE_AEA​ and EBE_BEB​ are independent.

[1]
Markscheme

4.1 Probability (A-level only) Questions

  1. A Level
  2. /Maths
  3. /4.1 Probability (A-level only)

164 exam-style questions on WJEC A Level Maths 4.1 Probability (A-level only), covering 4.1.1 Probability (A-level only), 4.1.2 Probability (A-level only), and 4.1.3 Probability (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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