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Problem Set #6

# Problem Set #6 - 43956 6 a p(3 nondefective)= = C37C05C312...

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First Trial Second Trial Experimen tal Outcome Value of x S (S,S) 2 S F (S,F) 1 S (F,S) 1 F F (F,F) 0 1) a. b. p(1)= . . = *. *. =. C12 41 61 2 4 6 48 c. p(0)= . . = * *. =. C02 40 62 1 1 36 36 d. p(2)= . . = *. * =. C22 42 60 1 16 1 16 e. p(at least 1)=p(1)+p(2)= .64 f. E(x) = .8, Var(x) = .48, δ = .6928 2) a. p(12)= . . = ! ! C1220 5012 508 20 12 * !. . = * * * * * * * * * * * * * * . . = * 8 5012 508 20 19 18 17 16 15 14 131 2 3 4 5 6 7 8 5012 508 125970 . . =. 512 58 12 b. p(no more than 5)= p(0)+p(1)+p(2)+p(3)+p(4)+p(5)= .0002+.0011+.0046+.0148 = . 0217

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c. 10 d. var(x) = 5, δ = 2.24 3) a. p(3)= . . = * * * * . . =. C310 303 707 10 9 81 2 3 303 707 2668 b. p(at least 3) =p(3)+p(4)+p(5)+p(6)+p(7)+p(8)+p(9)+p(10)=.2668+.2001+.1029+.0368+.009+ .0014+.0001=.6191 4) a. p(0)= .0498 b. p(at least2)=.2240+.2240+.1680+.1008+.0504+.0216+.0081+.0027+.0008+.0002+.0001=.80 07 c. 1.5 d. p(0 in 6 months)= .2231 5) a. p(3 of 10)= = ! !* ! ! ! ! ! ! C34C711C1015 4 3 11 7 4 15 10 5 = * * * * * * * * * * * * * * * = 4 11 10 9 81 2 3 415 14 13 12 111 2 3 4 5 =. 13203003 43956 6) a. p(3 nondefective)=
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Unformatted text preview: 43956 6) a. p(3 nondefective)= = ! ! !* ! ! ! ! ! C37C05C312 7 3 4 5 5 12 3 9 = =. 35220 15909 b. p(4 nondefective)= = ! ! !* ! ! ! ! ! C47C05C412 7 4 3 5 5 12 4 8 = =. 35495 0707 7) p(4 failures)= .0573 8) a. p(1 of 16)= . . =. C116 051 9515 371 b. 1-p(0)+p(1)= . +. =. C016 9516 371 8343 c. 30 9) a. 1-p(0)= . =. C010 8510 1969 b. p(0)+p(1)= . + . . =. +. =. 1969 C110 151 859 1969 3473 5443 10)p(0)+p(1) = + = ! !* ! ! ! C06C49C415 C16C311C415 6 6 9 4 5 ! ! !+ ! ! !* ! ! ! ! ! ! 15 4 11 6 1 5 11 3 8 15 4 11 = + =. 1261365 9901365 82 11)b. p(1) = = ! !* ! ! ! ! ! ! C14C348C452 4 3 48 3 45 52 4 48 = * =. 4 17296270725 25556 c. p(0)= = ! !* ! ! ! ! ! ! C04C448C452 4 4 48 4 44 52 4 48 =. 7187 d. 1-p(0) = .2812 12)a. p(6 of 8) = = ! ! !* ! ! ! ! ! C618C212C830 18 6 12 12 2 10 30 8 != =. 22 12252245852925 209 b. p(6) = . . =. C68 606 402 209 c. they are equal...
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