4. A plant manager considers the operational cost per hour of five machine alternatives. The cost per hour is sensitive to three potential weather conditions: cold, mild, and warm. The following table represents the operations cost per hour for each alternative- state of nature combination: States of Nature Weather related cost per hour Alternatives Cold cost/day Mild cost/day Warm cost/day Machine 1 Machine 2 Machine 3 Machine 4 Machine 5 $50 $45| $40 $60 $45 $40 $42 $35 $25 $40 $45 $47 $54 $48 $45

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Q: Show that AB = O, even though A ≠ O and B ≠ O.

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A: Topic = Determinants

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A: Given: Px=2x3+3x2-6x-16, gx=x-2

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A: Introduction :

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.