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For an assignment to be considered valid,sum of all probabilities of each assignment should be 1

(a) Sum of all probabilities =0.1+0.01++0.05+0.03+0.01+0.2+0.6

$\Rightarrow 1$

$\therefore$ This is a valid assignment

(b) Sum of all the probabilities=$\large\frac{1}{7}+\frac{1}{7}+\frac{1}{7}+\frac{1}{7}+\frac{1}{7}+\frac{1}{7}+\frac{1}{7}$

$\Rightarrow \large\frac{7}{7}$

$\Rightarrow 1$

$\therefore$ This is a valid statement

(c) Sum of all the probabilities=0.1+0.2+0.3+0.4+0.5+0.6+0.7

$\Rightarrow 2.8$

$\therefore$ This is not a valid assignment because the sum of probabilities of each assignment is not 1

(d) This is not a valid assignment because the probability of any assignment cannot be negative.

Here probability of $\omega 1$ and $\omega 5$ are negative.

$\therefore$ Not a valid assignment

(e) This is not a valid assignment because the probability of $\omega 7=\large\frac{15}{14}$$ > 1$

Hence the sum of all the probabilities > 1

$\therefore$ Not a valid assignment.

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