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Which of the following can not be valid assignment of probabilities for outcomes of sample Space `S={omega_(1),omega_(2),omega_(3),omega_(4),omega_(5),omega_(6),omega_(7)}`

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The correct Answer is:
(a) Yes, (b) Yes, (c) No, (d) No, (e) No.
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Let a sample space be S = {omega-(1), omega_(2),....,omega_(6)} . Which of the following assingments of probabilities to each outcomes are valid? Outcomes omega_(1)" "omega_(2)" "omega_(3)" "omega_(4)" "omega_(5)" "omega_(6) (a) 1/6 1/6 1/6 1/6 1/6 1/6 (b) 1 0 0 0 0 0 (c) 1/8 2/3 1/3 1/3 - 1/4 - 1/3 (d) 1/12 1/12 1/6 1/6 1/6 3/2 (e) 0.6 0.6 0.6 0.6 0.6 0.6 .

If omega(ne1) is a cube root of unity, then (1-omega+omega^(2))(1-omega^(2)+omega^(4))(1-omega^(4)+omega^(8)) …upto 2n is factors, is

Knowledge Check

  • Which of the following are not state functions ? (i) q+w (ii) q (ii) w (iv) H- TS

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    B
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