Which of the following cannot be valid assignment of probabilities for outcomes of sample space `S={W_(1),W_(2),W_(3),W_(4),W_(5),W_(6),W_(7)}`

Answer

(c ), (d) and (e)

Explanation

(a) In assignment (a), each number is positive and less and 1 Sum of probailities
= 0.1 + 0.01 + 0.05 + 0.03 + 0.01 + 0.2 + 0.6 = 1
Thus, this assignment is valid.
(b) In assignment (b), each number is positive and less than 1.
Sum of probabilities = `(1)/(7) + (1)/(7) + (1)/(7) + (1)/(7) + (1)/(7) + (1)/(7) + (1)/(7) = 7 xx (1)/(7) = 1`
Thus, this assignment is valid.
(c ) In assignment (c ), each number is positive and less and 1 Sum of probabilities.
= 0.1 + 0.2 + 0.3 + 0.4 + 0.5 + 0.6 + 0.7 = 28 `ne` 1
Thus, the assignment is not valid.
(d) In assignment, two numbers are negative. So, it is not valid assignment.
(e) In assignment, `p(omega_(7)) = (15)/(14) gt 1`. So, it is not valid assignment.