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IME 2610 Homework #3 *This assignment is due in class on 10/7. Please show work so that partial credited can be awarded.2. Several WMU alumni from last year’s graduating class were asked to share what range their starting salary was in. The table below shows the results for both engineering majors and business majors. Assume the following: E denotes Engineering, B denotes Business, L denotes under $50,000 and O denotes equal to or over $50,000. A. Fill out the rest of the contingency table and use it to determine the probabilities below. B. P(E) = C. P(B or O) = D. P(E and L) = E. P(B and 𝑂̅) = F. P(B | L) = G. P(𝐿̅| B) = H. Are being an engineering major and making greater than or equal to $50,000 independent? Why? I. Are being an engineering major and making less than $50,000 mutually exclusive? Why?