An assessment of the quality of the electrical power system in Turkey was the topic of an article published in Electrical Engineering(Mar. 2013). One measure of quality is the degree to which voltage fluctuations cause light flicker in the system. The perception of light flicker x when the system is set at 380 kV was measured periodically(over 10-minuteintervals). For transformers supplying heavy industryplants, the light flicker distribution was found to follow(approximately) a normal distribution with=2.2% and=0.5%. Suppose if the perception of light flicker exceeds 2.9%, the transformer is shut down and the system is reset. How likely is it for a transformer supplying a heavy industry plant to be shut down due to lightflicker?

The probability that a transformer supplying a heavy industry plant has to be shut down due to light flicker is

(Round to four decimal places asneeded.)