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A homeowner has just signed a contract with a residential home renovator. The work is expected to take several weeks and depends on several factors,

A homeowner has just signed a contract with a residential home renovator. The work is expected to take several weeks and depends on several factors, such as availabilities of materials and skilled labour. The table below shows the renovator's probability assessment for the number of weeks required before the renovation is completed. Consider the following:event A denotes "at least nine weeks before renovation is completed," and event B denotes "fewer than eleven weeks before renovation is completed." Find P(B|A).

No. of weeks: X 8 9 10 11 12
Probability: P(X) 0.03 0.23 0.4 0.3 0.04

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