Question 25 of 55intermediate🔍 AnalyzeShort Answer3 marks
Which of the following can not be valid assignment of probabilities for outcomes of sample Space S = {ω₁, ω₂, ω₃, ω₄, ω₅, ω₆, ω₇} Assignment: (a) 0.1, 0.01, 0.05, 0.03, 0.01, 0.2, 0.6 (b) 1/7, 1/7, 1/7, 1/7, 1/7, 1/7, 1/7 (c) 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7 (d) –0.1, 0.2, 0.3, 0.4, –0.2, 0.1, 0.3 (e) 1/14, 2/14, 3/14, 4/14, 5/14, 6/14, 15/14
(a)
Answer
Valid
(b)
Answer
Valid
(c)
Answer
Not Valid
(d)
Answer
Not Valid
(e)
Answer
Not Valid
Explanation
According to the probability axioms from the textbook: (i) 0 P(ωᵢ) 1 for all outcomes, and (ii) ΣP(ωᵢ) = 1. Each assignment must satisfy both conditions to be valid.