请教gwd-25-6

SunnyApples

Q6

A string of 10 lightbulbs is wired in such a way that if

any individual lightbulb fails, the entire string fails. If for

each individual lightbulb the probability of failing during

time period T id 0.06, what is the probability that the

string of lightbulbs will fail during time period T?

 

 

   A.0.06

   B.(0.06)^10

   C.1-(0.06)^10

   D.(0.94)^10

   E.1-(0.94)^10

Answer :e

请那位牛人指导解题思路，谢谢了

taohuaxianzi

 the string of lightbulbs will fail if any individual lightbulb fails, in other words, the string of lightbulbs will NOT fail if all individual lightbulb do NOT fail.

the probability that all 10 lightbulbs are good is (1-0.06)^10

thus, the probability that the string will fail is 1-(1-0.06)^10

detectiveyan

为什么我这样想不行：灯泡坏是独立事件，任一个灯泡坏的概率是0.06*10，所以0.6就是这串灯泡坏的概率

liuxiaolan89

agree!!!!!!!!!!!!!!