Goldman Sachs Interview Question
InternsCountry: United States
Interview Type: Written Test
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Prob.(successful first launch) = 0.8
- anotherguy September 14, 2013T(successful first launch) = K - C
Prob.(successful second launch) = (0.2)(0.8)
T(successful second launch) = K+(K/3)-C
Prob.(successful third launch) = (0.2)^2(0.8)
T(successful second launch) = K+(2K/3)-C
Prob.(successful fourth launch) = (0.2)^3(0.8)
T(successful second launch) = K+(3K/3)-C
Prob.(successful fifth launch) = (0.2)^4(0.8)
T(successful second launch) = K+(4K/3)-C
Prob.(unsuccessful experiment) = (0.2)^5
T(successful second launch) = K+(4K/3)
This is the probability distribution of T:
Prob.(T = K - C) = 0.8
Prob.(T = 4K/3 - C) = 0.16
Prob.(T = 5K/3 - C) = 0.032
Prob.(T = 6K/3 - C) = 0.0064
Prob.(T = 7K/3 - C) = 0.00128
Prob.(T = 7K/3) = 0.00032