(1)
(¥¢)13¡§Ï«Æ¯°ÂÁ´±ÒÀ¸Ë¡¤ÎÌÜŪ¡§´í³²Ëɻߴð½à¤Î³ÎΩ¡¢ÀÕǤÂÎÀ©¤ÎÌÀ³Î²½¤Ê¤É
(¥¤)5¡§Ï«Æ¯ºÒ³²¡§Ï«Æ¯¼Ô¤¬Éé½ý¤·¡¢¼Àɤˤ«¤«¤êËô¤Ï»àË´¤¹¤ë¤³¤È
(¥¦)7¡§°ÂÁ´´ÉÍý¼Ô¤òÁªÇ¤
(¥¨)3¡§ÅÙ¿ôΨ¡§100Ëü±ä¤Ù¼ÂϫƯ»þ´ÖÅö¤¿¤ê¤ÎϫƯºÒ³²¤Ë¤è¤ë»à½ý¼Ô¿ô
(2)(i)
(¥ª)3
MTTR=(2*8+4*3+6*4+8*2+10*2+12*1)»þ´Ö/20·ï=100»þ´Ö/20·ï=5
(2)(ii)
(¥«)8
½¤ÉüΨ¦Ì=1/MTTR=1/5=0.2
ÊÝÁ´Å٣͡á1-e-¦Ì£ô=1-e-0.2*20=1-e-4=1-0.018=0.982
¤è¤Ã¤ÆÊÝÁ´ÅÙ¤Ï98.2%¤Ç¤¢¤ë¡£
(3)(i)
(¥)3
¸Î¾ãΨ¦Ë=3/2400(·ï/»þ´Ö)=1/800
R(t)=e-¦Ët=e-(1/800¡ß1000)=e-1.25=0.287
¤è¤Ã¤Æ¿®ÍêÅÙ¤Ï28.7%¤Ç¤¢¤ë¡£
(3)(ii)
(¥¯)2
R(200)=e-¦Ë*200>0.999
loge-¦Ë*200>log(1-0.001)
200¦Ë<0.999
¦Ë<0.004995=0.005=0.00005%=5*10^-4%