Which of the following cannot be valid assignment of probability for elementary events or outcomes of sample space S = {w1, w2, w3, w4, w5, w6, w7}:
Elementary events: | w1 | w2 | w3 | w4 | w5 | w6 | w7 |
(i) | 0.1 | 0.01 | 0.05 | 0.03 | 0.01 | 0.2 | 0.6 |
(ii) | |||||||
(iii) | 0.7 | 0.6 | 0.5 | 0.4 | 0.3 | 0.2 | 0.1 |
(iv) |
for each event to be a valid assignment of probability, the probability of each event in sample space should be less than 1 and the sum of probability of all the events should be exactly equal to 1
(i) it is valid as each P(wi) (for i=1 to 7) lies between 0 to 1 and sum of P(w1) =1
(ii) it is valid as each P(wi) (for i=1 to 7) lies between 0 to 1 and sum of P(w1) =1
(iii) it is not valid as sum of P(wi)=2.8 which is greater than 1
(iv) it is not valid as which is greater than 1