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The probability is 1% that an electrical connector that is
Chapter 2, Problem 123E(choose chapter or problem)
The probability is 1% that an electrical connector that is kept dry fails during the warranty period of a portable computer. If the connector is ever wet, the probability of a failure during the warranty period is 5%. If 90% of the connectors are kept dry and 10% are wet, what proportion of connectors fail during the warranty period?
Questions & Answers
QUESTION:
The probability is 1% that an electrical connector that is kept dry fails during the warranty period of a portable computer. If the connector is ever wet, the probability of a failure during the warranty period is 5%. If 90% of the connectors are kept dry and 10% are wet, what proportion of connectors fail during the warranty period?
ANSWER:Step 1 of 2
(a)
The probability is that an electrical connector that is kept dry fails during the warranty period of a portable computer.
If the connector that is ever wet, the probability of a failure during the warranty period is .
If of the connectors are kept dry and are wet, what proportion of connectors fail during the warranty period?
Let denote the event that a connector fails.
Let denote the event that a connector is wet.
According to the question, we need to find the probability of connector fails given that connector is either wet or dry.