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In an assessment of the quality of the electrical power​ system, one measure of quality is...

In an assessment of the quality of the electrical power​ system, 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 380kV was measured periodically​ (over 10-minute​ intervals). For transformers supplying heavy industry​ plants, suppose the light flicker distribution was found to follow​ (approximately) a normal distribution with μ=2.2​% and σ=0.4

If the perception of light flicker exceeds 2.8​%, 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 light​ flicker?

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