An engineering firm offers testing for electrical products. Currently they are testing a type of compact portable music player. They randomly select a number of the music player and conduct a series of tests and compute an overall score for each unit based upon the results of the testing routine.

They determine that the test scores are normally distributed with a mean of 344 and a variance of 2,000.

A unit is deemed faulty if it scores below 280.

Find the probability of a random unit being faulty. Give your answer as a decimal to 2 decimal places.

Probability =