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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?

Respuesta :

Answer:

The answer is " 0.83"

Step-by-step explanation:

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

Values:

[tex]\ X = 3.3 \\[/tex]

[tex]\mu \ = 2.8 \% \\\sigma = 0.6[/tex]

Formula:

[tex]z= \frac{X - \mu }{\sigma} \\[/tex]

  [tex]= \frac{3.3 - 2.8 }{0.6} \\\\= \frac{ 0.5}{0.6} \\\\= \ 0.83[/tex]

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