Alternatives 1 and 2 in the Following Payoff Table Represent

question 62

Multiple Choice

Alternatives 1 and 2 in the following payoff table represent the two possible manufacturing strategies that the EKA manufacturing company can adopt.The level of demand affects the success of both strategies.The states of nature (S_I) represent the levels of demand for the company products.S₁,S₂,and S₃ characterize high,medium,and low demand,with probabilities of .3,.6,and .1,respectively.The payoff values are in thousands of dollars. The management believes that weather conditions significantly affect the level of demand.48 monthly sales reports are randomly selected.These monthly sales reports show 15 months with high demand,28 months with medium demand,and 5 months with low demand.12 of the 15 months with high demand had favorable weather conditions.14 of the 28 months with medium demand had favorable weather conditions.Only 1 of the 5 months with low demand had favorable weather conditions.What is the probability that weather conditions are poor,given that the demand is high?

• A) .2
• B) .5
• C) .8
• D) .25
• E) .75

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Definitions:

Concave

A shape or function curving inward, resembling the interior of a circle or sphere.

Sample Regression Line

A line that best fits the data points in a scatter plot, representing the relationship between an independent variable and a dependent variable based on sample data.

Coefficient

In algebraic expressions, a constant or fixed number that multiplies the variable, placed before it.

First-order Polynomial

A mathematical expression of the form ax + b, where a and b are constants and x is a variable.