Wind turbines are analyzed for cost and efficiency. The results from 100 wind tu
ID: 3041611 • Letter: W
Question
Wind turbines are analyzed for cost and efficiency. The results from 100 wind turbines are follows: summarized as Cost high low Efficiency high 40 20 low 30 10 (a) If a wind turbine is selected at random, what is the probability that its efficiency is high or its cost is high? (b) Consider the event that a wind turbine has high cost and the event that a wind turbine has high efficiency. Are these two events mutually exclusive? (c) If a wind turbine is selected at random, what is the probability that its efficiency is high and its cost is high?Explanation / Answer
Answer:
Cost
high
low
Total
high
40
20
60
Efficiency
low
30
10
40
Total
70
30
100
a).
P( A or B) = P( A)+P( b) –P( A and B)
P=(60+70-40)/100 =90/100=0.9
b).
They are not mutually exclusive because there are 40 turbines with high cost and high efficiency.
c).
P= 40/100 = 0.4
Cost
high
low
Total
high
40
20
60
Efficiency
low
30
10
40
Total
70
30
100
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