Which of the following cannot 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)}`?

Answer

N/a

Explanation

(a) Here all probabilities lie between 0 and 1.
Here sum of all probabilities
`=0.1+0.01+0.05+0.03+0.01+0.2+0.6=1`
Therefore probability assignment is valid.
(b) Here all probabilities lie between 0 and 1.
Here sum of all probabilities
`=1/7+1/7+1/7+1/7+1/7+1/7+1/7+1/7=1`
Therefore probabilitgy assignment is valid.
(c) Here all probabilities lie betwen 0 and 1.
Here sum of all probabilities.
`=0.1+0.2+0.3+0.4+0.5+0.6+0.7=2.8!=1`
Therefore probability assignment is not valid
(d) Here `P(W_(1))=-0.1` which does not lie betwen 0 and 1.
Therefore probability assignment is not valid.
(e) Here `P(W_(7))=15//4` which does not lie betwen 0 and 1.
Therefore probability assignment is not valid.