SCENARIO 5-12
Two Different Designs on a New Line of Winter

question 97

Short Answer

SCENARIO 5-12
Two different designs on a new line of winter jackets for the coming winter are available for your
manufacturing plants. Your profit (in thousands of dollars) will depend on the taste of the consumers
when winter arrives. The probability of the three possible different tastes of the consumers and the
corresponding profits are presented in the following table. $$\begin{array} { | c | c | r | r | } \hline \text { Probability } & \text { Taste } & \text { Design A } & \text { Design B } \\\hline 0.2 & \text { more conservative } & 180 & 520 \\\hline 0.5 & \text { no change } & 230 & 310 \\\hline 0.3 & \text { more liberal } & 350 & 270 \\\hline\end{array}$$
-Referring to Scenario 5-12, if you decide to choose Design A for 10% of the production lines and
Design B for the remaining production lines, what is the risk of your investment?

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Definitions:

Normally Distributed

Describes a dataset whose distribution forms a symmetric, bell-shaped curve when plotted, with most data near the mean.

Margin of Error

An expression of the amount of random sampling error in a survey's results, indicating the range within which the true population parameter is likely to lie with a certain level of confidence.

Confidence

The degree of certainty or belief in a certain outcome, often used in the context of statistical confidence levels.

Standard Deviation

A statistic that quantifies the dispersion or variability of a set of data points around the mean.