SOLUTION: Demand for residential electricity at 6:00 P.M. on the first Monday in October in Santa Theresa County is normally distributed with a mean of 4,905 MW (megawatts) and a standard de
Algebra.Com
Question 341087: Demand for residential electricity at 6:00 P.M. on the first Monday in October in Santa Theresa County is normally distributed with a mean of 4,905 MW (megawatts) and a standard deviation of 355 MW. Due to scheduled maintenance and unexpected system failures in a generating station the utility can supply a maximum of 5,200 MW at that time. What is the probability that the utility
will have to purchase electricity from other utilities or allow brownouts?
So I have tried this:
(5200-4905)/355 = 0.830986
I do not know if I have answered this question correctly. Please review and help me, if you can.
Thank you!!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Demand for residential electricity at 6:00 P.M. on the first Monday in October in Santa Theresa County is normally distributed with a mean of 4,905 MW (megawatts) and a standard deviation of 355 MW.
------------------------------------
Due to scheduled maintenance and unexpected system failures in a generating station the utility can supply a maximum of 5,200 MW at that time.
-----------------------
What is the probability that the utility will have to purchase electricity from other utilities or allow brownouts?
So I have tried this:
z(5200) = (5200-4905)/355 = 0.8310
Note: You have found the z-value associated with 5200.
-----------------
You now need to find the probability that z is greater than 0.8310
-----------------
P(x > 5200) = P(z > 0.8310) = normalcdf(0.8310,100) = 0.2030
----------------------
Cheers,
Stan H.
RELATED QUESTIONS
Note: My teacher says that the distance between Santa Fe and Topeka is not a factor in... (answered by Stitch)
A tour bus normally leaves for its destination at
5:00 p.m. for a 300 mile trip. This... (answered by ikleyn,ewatrrr)
The length of stay (in hours) for a sample of 12 pneumonia patients at Santa Theresa... (answered by stanbon)
the increasing block tariffs per month for residential electricity for the 2016/2017... (answered by ikleyn)
The amount of nitrogen dioxide NO2 present in the air in the city of Springeld on
a... (answered by ikleyn)
Hello, the question is: Calculate the average daily balance (in $) for October for a... (answered by MathLover1,math_tutor2020)
About 61% of pot shards found in Bandelier National Monument are Santa Fe black on... (answered by stanbon)
(b) In 2017, ELEC-TT had the following rate schedule for electricity usage for... (answered by mananth)
In 2014, TTEC had the following rate schedule for electricity usage for residential... (answered by Theo)