The probability that an electrical connector that is Wept dry fails during the w

Question

The probability that an electrical connector that is Wept dry fails during the warranty period of a portable computer is 1%. If the connector is ever wet, the probability of a failure during the warranty period is 5%. Given that 90% of the connectors are kept dry and 10% are wet, answer the following questions: What is the probability that a connector chosen randomly fails during the warrants period? What is the probability that a connector chosen randomly is kept dry and does fail during the warranty ? What is the probability that a connector chosen randomly is kept warranty ? What is the probability that a connector chosen randomly does period?

Explanation / Answer

Dry one fails = .01

wet and fails = .05

90% and 10% of connectors are dry and wet

a.P(connector fails during warranty period) = .01*.9+.05*.1 =.014

b.P(connector is kept dry and doen't fail) = .9(1-.01) = .891

c.P(connector is kept wet and fails) = .10*(.05) = .005

d.P(connector doesn't fail) = .9*(1-.01)+.1*(1-.05) = .986

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