Statistics for Maintenance Modelling: Basic Probability Concepts

# Hint¤

A is the event that the machine needs a service and B1, B2, and B3 are the events that the machines come from company 1, 2, or 3 respectively, so we have:

- P(B1) = 0.6
- P(B2) = 0.3
- P(B3) = 0.1
- P(A|B1) = 0.09
- P(A|B2) = 0.2
- P(A|B3) = 0.06

To find the probability that a machine needing a service is from company 2, substitute these values into Bayes' Theorem as follows:

P(B2) P(A|B2)

P(B1) P(A|B1) + P(B2) P(A|B2) + P(B3) P(A|B3)

P(B2|A)=
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