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AmbitiousAndProud
04.04.2020 •
Mathematics
9. A contractor is considering a sale that promises a profit of $27,000 with a probability of 0.7 or a loss (due to bad weather, strikes, and such) of $12,000 with a probability of 0.3. What is the expected value?
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Ответ:
Hence the expected value for the contractor for sales is 15,300 $.
Step-by-step explanation:
Given:
Winning $27000 is 0.7 and losing 12000 $ of it about 0.3
To find :
Expected value for the contractor for sales.
Solution:
Th expected value is the average occurred of the event.
{Suppose
a series of number like 10,30,30,30,30,60,78.
for this expected value will be
(10+30+30+30+30+60+78+78) / 8
=10(1/8)+30(4/8)+60(1/8)+78(2/8).
78 ,10 ,30 and 60 are just like cost and 1/8 ,4/8,2/8 are probabilities of respective cost.
}
Similar for given values
Expected value with probability is =
Winning probability *cost of winning +(-losing probability * losing cost)
losing means negative impact on value so it is negative
=27000*0.7-12000*0.3
=18900-3600.
=15300 $.
Ответ:
8 for first little numbers in each, and 6 for other 2 numbers. Total diffrence: 14.
Step-by-step explanation: