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Assuming the possibility of MTBF (Mean-Time-Between-Failure) within 5 years (5年内平均无故障率)of JS 9mm revolver (警用9mm转轮手枪)is 0.5, the possibility of MTBF within 10 years is 0.3; what is the possibility of MTBF in the next 5 years if some revolvers already have been used in 5 years trouble-free (已经无故障使用5年的枪支再无故障使用5年无故障的概率)(请同时画出样本空间图, 6分)?

Assuming the possibility of MTBF (Mean-Time-Between-Failure) within 5 years (5年内平均无故障率)of JS 9mm revolver (警用9mm转轮手枪)is 0.5, the possibility of MTBF within 10 years is 0.3; what is the possibility of MTBF in the next 5 years if some revolvers already have been used in 5 years trouble-free (已经无故障使用5年的枪支再无故障使用5年无故障的概率)(请同时画出样本空间图, 6分)?

发布时间:2025-03-01 20:50:24
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答案:【计分规则】: Known as P(MTBF10)=0.3 P(MTBF5)=0.5 P(MTBF10| MTBF5)=P(MTBF10|∩MTBF5)/ P(MTBF5)= P(MTBF10)/ P(MTBF5) = 0.3/0.5= 0.6 Sample space omitted
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