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Which of the following can not be valid ...

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)}`
(a) `0.1` `0.01` `0.05` `0.03` `0.01` `0.2` `0.6`
(b) `1/7` `1/7` `1/7` `1/7` `1/7` `1/7` `1/7`
(c) `0.1` `0.2` `0.3` `0.4` `0.5` ` 0.6` `0.7`
(d) `-0.1` `0.2` `0.3` `0.4` `-0.2` `0.1` `0.3`
(e) `1/14` `2/14` `3/14` `4/14` `5/14` `6/14` `15/14`

Text Solution

Verified by Experts

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 .

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Knowledge Check

  • If omega_0 , omega_1 , ………, omega_( n - 1) are the nth roots of unity then (1 + 2 omega_0) ( 1 + 2 omega_1) (1 + 2 omega_2)…..(1 + 2omega_(n - 1) ) =

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  • Arrange the following matrices in ascending order of value of their trace. (A) [(1,0,0),(0,1,0),(0,0,1)] (B) [(2,3,1),(1,-1,2),(3,0,1)] (C ) [(3,4),(1,5)] (D) [(-2,1),(3,8)]

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  • The minors of 1 and 7 in the matrix [(1,4,2),(2,-1,4),(-3,7,6)] are

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