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 14

Short Answer

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 standard deviation of X ? $$\begin{array} { | l | l | } \hline \text { A. } & 14.552 \text { in } \$ ^ { 2 } \\\hline \text { B. } & 3.815 \text { in } \$ \\\hline \text { C. } & 0.348 \text { in } \$ \\\hline \text { D. } & \text { None of these choices are correct } \\\hline\end{array}$$

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Definitions:

Working Conditions

The environment and terms under which employees work, including hours, safety, physical demands, and legal rights.

Supreme Court

The highest court in the United States, with ultimate judicial authority to interpret and decide upon the constitutionality of laws.

Women Unionists

Female members of labor unions who advocate for workers' rights, including equal pay, safe working conditions, and fair treatment in the workplace.

Florence Kelley

Florence Kelley was a social and political reformer in the early 20th century known for her work in child labor laws and improving conditions for working women.