Question: (b) Consider the following probability tree model: Event A? Exenl B? EVent C? .30 .90 B .70 .30 A C P .10 C BC l-p


(b) Consider the following probability tree model: Event A? Exenl B? EVent C? .30 .90 B .70 .30 A C\" P .10 C BC l-p (:0 .50 C .40 B C .50 CC .?0 A\" q C .60 c B M cc Suppose you wish to model Event B and Event C as independent events in the above probability tree. Page 2 of 7 (i) Determine the values p and q must satisfy in order that Event B and Event C be independent. Specically, derive an expression of the form p + on q = (12 (where you specify (11 and (12) with any pq-combination satisfying this equation leading to independence between the events. (ii) Determine both the highest and lowest possible values for q such that it is possible that Event B and Event C be independent in the above probability tree
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