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Category > Statistics Posted 02 Aug 2017 My Price 5.00

to determine the probability that a certain component lasts more than 350 hours

to determine the probability that a certain component lasts more than 350 hours in operation, a random sample of 37 components was tested. Of these, 24 lasted longer than 350 hours.

(a) Construct a 95% CI for the probability, p, that a randomly selected component lasts more than 350 hours.

(b) A system consists of two such components connected in series. Thus, the system operates if and only if both components operate properly. Construct a 95% CI for the probability that the system lasts more than 350 hours. You can assume that the life spans of the two components in the system are independent. (Hint. Express the probability that the system lasts more than 350 hours in terms of p.)

 

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Status NEW Posted 02 Aug 2017 10:08 AM My Price 5.00

n =----------- 37----------- an-----------d p----------- = -----------pro-----------por-----------tio-----------n t-----------hat----------- la-----------ste-----------d l-----------ong-----------er -----------tha-----------n 3-----------50 -----------hou-----------rs -----------= 2-----------4/3-----------7 =----------- 0.-----------648-----------6 S-----------td -----------err-----------or -----------= r-----------t p-----------(1------------p)/-----------n =----------- 0.-----------078-----------4 M-----------arg-----------in -----------of -----------err-----------or -----------for----------- 95-----------% =----------- 1.-----------96*-----------std----------- er-----------ror-----------

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