An energy company is proposing to erect wind turbines im your community. The com
ID: 3046391 • Letter: A
Question
An energy company is proposing to erect wind turbines im your community. The company puts up test towers to measure normal wind conditions. The actual turbines require a wind speed of at least 5 m/s and reach optimal power output when the wind speed is 15m/s/ If the wind speed is more than 25m/s, the turbines are shut down to prevent damage. The test towers recorded an average wind speed of 13m/s with a standard deviation of 3.9m/s.
a) What is the probability that the wind will blow within 3m/s of the optimum wind speed?
b) What is the probability that the wind will blow hard enough to require the turbines to shut down?
Explanation / Answer
a) as within 3m/s of the optimum wind speeds are 12 and 18 m/s
b)
probability that the wind will blow hard enough to require the turbines to shut down
for normal distribution z score =(X-)/ here mean= = 13.000 std deviation == 3.90Related Questions
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