,t^t- w.Jr,rt^tta)=u.L and p(AlB) =0.5,find:(1)p(,a,1 B,) ond (z)p(Ac nB() {Q2:rneprob.thotonintegrotedcirtuitchipwiIlhovede|ective",,n, --- '- - -ond the pro.b' thot it hos either one of t1'te two delects is o.o7 .whot is the prob. thot o newry monuloctured chip wi, hovs ' : k)iior "trn;ng a"Jrrt given thot it hos a rrock defect ? !:.,(2)onlytwooIthefirstihreebutletsfiredarenotbIonks? -lQ4;nconsulling|irmrentscor5Iromthreeogencies,2o%fromogencYD,jo%from,n,n,,W Suppose thot 10% of the cors lrom D , 1?% ol the cors front E , ond 4% of the cors from F hove defective rires . ---- -!l!!.,yL .rrc) - ' A cor with gg:9 tires is rented by the firm , whot is the prob. tho,t this cor is not coming f ron ogency D ? . Ql:c;ven rnr yotu*iirs;;l. 4; ------ ----.---- lind: (1) c X: 0 I 21 .p(x) : o.17 O.Zs C-0-13 J c2 4 0.07 (3) the C.D.F. 6 o.o 1 ond 5 o.03 F{x) , Q1!, meoa ond the vorionce ol X {4)P(1ax<4). Q6: X is o continuous r-v- ,its p.d-f_ is qiven by .Find k . ,C. , .:) e). r1r _ zx) .y(s _ 3x) <-r r@1y; + ,0 7 .1 <1 ,<2 ;V
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Midterms Engineering Probability and Statistics Drabdelkawy Shokry Ahmedawad
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,t^t- w.Jr,rt^tta)=u.L and p(AlB) =0.5,find:(1)p(,a,1 B,) ond (z)p(Ac nB(){Q2:rneprob.thotonintegrotedcirtuitchipwiIlhovede|ective",,n,---
'- - -ond the pro.b' thot it hos either one of t1'te two delects is o.o7 .whot is the prob. thot o newry monuloctured chip wi, hovs' : k)iior
"trn;ng a"Jrrt given thot it hos a rrock defect ?
!:.,(2)onlytwooIthefirstihreebutletsfiredarenotbIonks?-lQ4;nconsulling|irmrentscor5Iromthreeogencies,2o%fromogencYD,jo%from,n,n,,WSuppose thot 10% of the cors lrom D , 1?% ol the cors front E , ond 4% of the cors from F hove defective rires .---- -!l!!.,yL .rrc) -' A cor with gg:9 tires is rented by the firm , whot is the prob. tho,t this cor is not coming f ron ogency D ? .
Ql:c;ven rnr yotu*iirs;;l. 4; ------ ----.----
lind: (1) c
X: 0 I 21.p(x) : o.17 O.Zs C-0-13
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0.07(3) the C.D.F.
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ond
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F{x) ,Q1!, meoa ond the vorionce ol X {4)P(1ax<4).Q6: X is o continuous r-v- ,its p.d-f_ is qiven by .Find k . ,C. , .:) e). r1r _ zx) .y(s _ 3x)
<-rr@1y; +
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Ain Shoms lJniversity _ Facutty of EngineeringPost- Graduoie; Communicatian & computer Engineering , Design ond production Engineering,Automotive Engineering , euolificotion ond CivilProbability & Stotistics (1)Morks : 20
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tf p(A)= 0.5, P(B)= 0.8, P(C)= 0.5, p(An B) * A.qB, p(CnC) = 0.3, p(B oC) = 0.BBqnd P(A n B n c) = a.z4 , curcurate the fofiowing prohabitities:
r i- _ (,-P(gir() r tr(,{n$,iO]: r-!o6+c,U *r-.S - c.48 _o"3- c,,-:g t-.:.2
= FtB)- ? i'i\ nG, f, f)'1 o V''- e4 - 6"'$J4* N
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= l-t.d/e(J
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P{E:) +(.rqls.ij , bs*o'z)+\:J:1)
and vur(Z - 3x) : 3. V (X) =
iventhat f(x):-{= , -- <x<ot isqp.d.f.of X,then(7) ff = \ +=rJv = L :i/ J*,_- J I *Z' !' {''-d)/_l
(2) ltx =--"4
(3) F(x) =
@) P(X > 1) = \_I -) !+ _{,
A shipment of 120 burglor olarms contoinsl{thot are defective. tf S*pI:!S:SS!g:l:_ore randomly selected andshipped to a customer, find the prob. that the customer will get ot teast Ti*Z$'iiive alorms