设修理某机器所用的时间X服从参数为λ=0.5(小时)指数分布,求在机器出现故障时,在一小时内可以修好的概率.
X服从参数为λ=0.5的指数分布,其分布函数为 F(x)= {1-e-0.5x x>0 {0 x≤0 所以 P{0<X<1}=F(1)-F(0)=1-e-0.5
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