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Category > Statistics Posted 20 May 2017 My Price 4.00

In testing the lifetime of components

In testing the lifetime of components, the sample space is the set S = {x:x > 0} of positive real numbers. Let A be the event that the next component tested will last less than 75 time units and B the event that it will last more than 53 time units. In mathematical notation, A = {x:x < 75},="" and="" b="{x:x"> 53}. Describe each of the events (a) Ac, (b) A ∩ B, (c) A ∪ B, and (d) (A − B) ∪ (B − A), both in words and in mathematical notation.

 

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Alpha Geek
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Status NEW Posted 20 May 2017 07:05 AM My Price 4.00

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file 1495264254-Answer.docx preview (189 words )
I-----------n t-----------est-----------ing----------- th-----------e l-----------ife-----------tim-----------e o-----------f c-----------omp-----------one-----------nts-----------, t-----------he -----------sam-----------ple----------- sp-----------ace----------- is----------- th-----------e s-----------et -----------S =----------- {x-----------:x -----------&am-----------p;g-----------t; -----------0} -----------of -----------pos-----------iti-----------ve -----------rea-----------l n-----------umb-----------ers-----------. L-----------et -----------A b-----------e t-----------he -----------eve-----------nt -----------tha-----------t t-----------he -----------nex-----------t c-----------omp-----------one-----------nt -----------tes-----------ted----------- wi-----------ll -----------las-----------t l-----------ess----------- th-----------an -----------75 -----------tim-----------e u-----------nit-----------s a-----------nd -----------B t-----------he -----------eve-----------nt -----------tha-----------t i-----------t w-----------ill----------- la-----------st -----------mor-----------e t-----------han----------- 53----------- ti-----------me -----------uni-----------ts.----------- In----------- ma-----------the-----------mat-----------ica-----------l n-----------ota-----------tio-----------n, -----------A =----------- {x-----------:x -----------&am-----------p;l-----------t; -----------75}-----------,=&-----------quo-----------t;&-----------quo-----------t; -----------and-----------=&q-----------uot-----------;&q-----------uot-----------; b-----------=&q-----------uot-----------;{x-----------:x&-----------quo-----------t;&-----------amp-----------;gt-----------; 5-----------3}.----------- De-----------scr-----------ibe----------- ea-----------ch -----------of -----------the----------- ev-----------ent-----------s (-----------a) -----------Ac,----------- (b-----------) A----------- âˆ-----------© B-----------, (-----------c) -----------A â-----------ˆª -----------B,
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