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Tutorial 6 - B NGM2032 A pplied Probability and Statistics...

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-" BNGM2032, Applied Probability and Statistics Winter20 ro "Thtorial problems - Assignment 6 " " 1,\ Thp l1fpohTl1:p "f '.l ;1-,...111 hit "C"~r1 ~rt <::l I"orl~';~ .................. ~ ..... + .......... +.. .. -=_..-- __ -""' ............ .... "": ;,., .... _4-.:~l' __ .-l'.! ..... ........... :L __ .. _...l ..... .. r_~_ · _, . ___ -.: .- ..... ____ .............. ...... : _ ..... ~ ....................................... \. .. :" ..... ~ .lU lAo ...... '-'.l.\ .. u...&. .U ..LL.1.CL.1J.u..1.a."-:'LUJ.iU5 pl.V ...... C\:)\:) 1.>::» CAl!VllGULH1l.1,Y L!-l;::)UIUULCU with melln 6 months. " ,a) What is the probability that a drill bit will last less than 4 months? h) 0n<-» a drriU ' bit h~s f~;l»d (i» 'S fou n d1-n; th p Aner~tAr nAt to cai-icfy the rp"pr-<-tt'"p l'nrh~"t-ri~ 1 - ""-:': ... ...,"" -':0 ...... .. .................. ""'- ........................ , .... ... .. <JJ ... ..., ....... ,t' . ..L.'""'" .. .... , ................. U ~~ .............. _u .............. .,v ........ - ..................... ~ standards), it is replaced by a new one of the same type, and so on. Assuming that the lifetimes of the drill bits are independerit, ai).d that a new drill bit was installed today, what is the probability that less than 2 drill bits will fail within the next 10 months? c) If a new drill bit was installed today, what is the probability that it takes more than 2 years OOtil the third drill bit win have to be installed? " " " 2) . It is suggested that the, amount of juice contained in a bottle is normally distributed with the mean 250 mI.
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