A Carnival Game Offers A(n)$80 Cash Prize for Anyone Who

question 203

Multiple Choice

A carnival game offers a(n) $80 cash prize for anyone who can break a balloon by throwing a dart at it.It costs $5 to play and you're willing to spend up to $20 trying to win.You estimate that you have a(n) 12% chance of hitting the balloon on any throw. Create a probability model for the amount you will win.Assume that throws are independent of each other.Round to four decimal places if necessary.

• A) \[\begin{array} { l | l c c c c }
• \text { Amount won } & \$ 75 & \$ 70 & \$ 65 & \$ 60 & - \$ 20 \\
• \hline \mathrm { P } \text { (Amount won } ) & 0.12 & 0.1056 & 0.0929 & 0.0818 & 0.0720
• \end{array}\]
• B) \[\begin{array} { l | l c c c }
• \text { Amount won } & \$ 75 & \$ 70 & \$ 65 & \$ 60 \\
• \hline \mathrm { P } \text { (Amount won) } & 0.12 & 0.1056 & 0.0929 & 0.6815
• \end{array}\]
• C) \[\begin{array} { l | l c c c c }
• \text { Amount won } & \$ 80 & \$ 75 & \$ 70 & \$ 65 & - \$ 20 \\
• \hline \mathrm { P } \text { (Amount won } ) & 0.12 & 0.1056 & 0.0929 & 0.0818 & 0.0720
• \end{array}\]
• D) \[\begin{array} { l | l c c c c }
• \text { Amount won } & \$ 75 & \$ 70 & \$ 65 & \$ 60 & - \$ 20 \\
• \hline \mathrm { P } \text { (Amount won } ) & 0.12 & 0.1056 & 0.0929 & 0.0818 & 0.5997
• \end{array}\]
• E) \[\begin{array} { l | l c c c c }
• \text { Amount won } & \$ 80 & \$ 75 & \$ 70 & \$ 65 & - \$ 20 \\
• \hline \mathrm { P } \text { (Amount won } ) & 0.12 & 0.1056 & 0.0929 & 0.0818 & 0.5997
• \end{array}\]

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Definitions:

Normal distribution

A statistical distribution where data is symmetrically distributed around the mean, often represented as a bell-shaped curve.

Interval estimate

An estimate of a population parameter that provides a range of values believed to contain the parameter.

Degrees of freedom

In statistics, it relates to the number of values in the final calculation of a statistic that are free to vary.

Confidence interval estimate

A range or interval of values, calculated from the sample data, within which the true population parameter is expected to lie, with a certain level of confidence.