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Chapter 3: Q106SE (page 204)

Condition of public school facilities. The National Center for Education Statistics (NCES) conducted a survey on the condition of America鈥檚 public school facilities. The survey revealed the following information. The probability that a public school building has inadequate plumbing is .25. Of the buildings with inadequate plumbing, the probability that the school has plans for repairing the building is .38. Find the probability that a public school building has inadequate plumbing and will be repaired.

Short Answer

Expert verified

The probability is 0.095.

Step by step solution

01

Important formula

The formula is P(A鈭�B)=P(A).P(B|A).

02

The probability that a public school building has inadequate plumbing and will be repaired.

Here, P(G)=0.25=chances of having inadequate plumbing.

P(F|G)=0.38= The school has plans to repair it.

P(G鈭�F)=P(G)脳P(F|G)=(0.38)(0.25)=0.095

Therefore the probability is 0.095.

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