Which of the following cannot be valid assignment of probability for elementary events or outcomes of sample space S = {w 1 , w 2 , w 3 , w 4 , w 5 , w 6 , w 7 }: Elementary events: w 1 w 2 w 3 w 4 w 5 w 6 w 7 (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)

Question

Philoid · Accepted Answer

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(w_i) (for i=1 to 7) lies between 0 to 1 and sum of P(w₁) =1

(ii) it is valid as each P(w_i) (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(w_i)=2.8 which is greater than 1

(iv) it is not valid as which is greater than 1

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)

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:w1w2w3w4w5w6w7(i)0.10.010.050.030.010.20.6(ii)(iii)0.70.60.50.40.30.20.1(iv)