Question

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 ​% and . If the perception of light flicker exceeds ​%, 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?

Answer 1

The answer is " 0.83"

Explanation:

In the question some data is missing, that's value can be defined as follows:

Values:

`\ X = 3.3 \\`

`\mu \ = 2.8 \% \\\sigma = 0.6`

Formula:

`z= (X - \mu )/(\sigma) \\`

`= (3.3 - 2.8 )/(0.6) \\\\= ( 0.5)/(0.6) \\\\= \ 0.83`