Find P45 which is the consumption level separating the bottom 45% from the top 55%.
In one region the september energy consumption levels for single family homes are found to be normally distributed with a mean of 1050 kWh and a standard deviationof 218 kWh. Find P45 which is the consumption level separating the bottom 45% from the top 55%.
Homework Answers
P(X<c)=0.45
--> P((X-mean)/s <(c-1050)/218)=0.45
--> P(Z<(c-1050)/218)=0.45
--> (c-1050)/218 =-0.13 (check standard normal table)
--> c= 1050 -0.13*218=1021.66
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Find P45 which is the consumption level separating the bottom 45% from the top 55%.
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