maths problem

2009-05-13 3:48 pm
A satellite system consists of 4 components and the system can function if at least two components are working.If each component independently works with probability 0.8, what is the probability the system will function?

回答 (1)

2009-05-17 4:19 pm
✔ 最佳答案
the probability the system will function
= 1 - probability the system will NOT function
= 1 - all 4 components not function - only one conponent function
= 1 - (1-0.8)^4 - 4C1 (1-0.8) (0.8)^3
= 1 - 0.0016 - 0.4096
= 0.5888

2009-05-17 16:18:33 補充:
sorry 之前計數錯左....

應該是
= 1 - (1-0.8)^4 - 4C1 (0.8) (1- 0.8)^3
= 1 - 0.0016 - 0.0256
= 0.9728
參考: me


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