The Lottery Commission Has Designed a New Instant Lottery Game $$\begin{array} { | c | c | } \hline X & P [ X ] \\\hline 0 & 0.95 \\\hline 10 & 0.049 \\\hline 100 & 0.001 \\\hline\end{array}$$

question 26

Multiple Choice

The lottery commission has designed a new instant lottery game. Players pay $1.00 to scratch a ticket, where the prize won, X, (measured in $) has the following discrete probability distribution : $$\begin{array} { | c | c | } \hline X & P [ X ] \\\hline 0 & 0.95 \\\hline 10 & 0.049 \\\hline 100 & 0.001 \\\hline\end{array}$$ Which of the following best describes the expected value of X ?

• A)In the long run, the average prize won per $1 played is $0.
• B)In the long run, the average prize won per $1 played is $0.41.
• C)In the long run, the average prize won per $1 played is $0.59.
• D)None of these choices are correct

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Definitions:

Optimum Lot Size

The most cost-effective quantity of items for production or purchase in a single order that minimizes total costs including ordering, holding, and inventory costs.

Inventory Carrying Cost

The total costs associated with holding and storing unsold goods, including warehousing, insurance, depreciation, and opportunity costs.

Production Setup

The process of preparing and arranging resources and equipment to begin a manufacturing operation.

ABC Analysis

An inventory categorization technique that divides items into three categories (A, B, and C) based on their importance and value to the organization.