MATH SOLVE

4 months ago

Q:
# 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? Let: D = electrical connector is dry D' = electrical connector is not kept dry (i.e., is wet) F = connector fails during warranty period F' = connector does not fail during warranty period Match the correct probability description to each given probability value

Accepted Solution

A:

Answer:1.4% of connectors fail during the warranty period.Step-by-step explanation:We have these following probabilities:A 90% probability that a connector is kept dry.A 10% probability that a connectors is wet.If a connector is dry, an 1% probability of failling.If a connector is wet, a 5% probability of failling.What proportion of connectors fail during the warranty period?This is 1% of 90% and 5% of 10%. So[tex]P = 0.01*0.9 + 0.05*0.1 = 0.014[/tex]1.4% of connectors fail during the warranty period.