mathxl.com STA 2122 Hybrid Fall 2017- Prof Florence George Stephanie Suarez 10/3

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mathxl.com STA 2122 Hybrid Fall 2017- Prof Florence George Stephanie Suarez 10/31/17 12:26 AM Homework: Week 9 Post-Class Score: 0 of 1 pt 5.3.43-T Save | 7 of 7 (5 complete) HY Score: 57.14%, 4 of 7 pts Question Help 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 = 1.6% and =0.7. If the perception of light flicker exceeds 2.5%, 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? There is a probability that a transformer supplying a heavy industry plant will need to be shut down. Round to three decimal places as needed.) Enter your answer in the answer box and then click Check Answer. All parts showing Clear All Check Answer

Explanation / Answer

probability for a transformer to be shut down due to light flicker =PX(>2.5)=1-P(X<2.5)=1-P(Z<(2.5-1.6)/0.7)

=1-P(Z<1.2857) =1-0.9007 =0.099

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