Skee Ball Ana is a dedicated Skee Ball player (see photo) who always rolls for the

Chapter 6, Problem 38

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QUESTION:

Ana is a dedicated Skee Ball player (see photo) who always rolls for the 50-point slot. The probability distribution of Ana's score X on a single roll of the ball is shown below. You can check that \(\mu_{X}=23.8\) and \(\sigma_{X}=12.63\).

\(\begin{array}{lccccc} \hline \text { Score: } & 10 & 20 & 30 & 40 & 50 \\ \text { Probability: } & 0.32 & 0.27 & 0.19 & 0.15 & 0.07 \\ \hline \end{array}\)

(a) A player receives one ticket from the game for every 10 points scored. Make a graph of the probability distribution for the random variable T = number of tickets Ana gets on a randomly selected throw. Describe its shape.

(b) Find and interpret \(\mu_{T}\).

(c) Find and interpret \(\sigma_{T}\)

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QUESTION:

Ana is a dedicated Skee Ball player (see photo) who always rolls for the 50-point slot. The probability distribution of Ana's score X on a single roll of the ball is shown below. You can check that \(\mu_{X}=23.8\) and \(\sigma_{X}=12.63\).

\(\begin{array}{lccccc} \hline \text { Score: } & 10 & 20 & 30 & 40 & 50 \\ \text { Probability: } & 0.32 & 0.27 & 0.19 & 0.15 & 0.07 \\ \hline \end{array}\)

(a) A player receives one ticket from the game for every 10 points scored. Make a graph of the probability distribution for the random variable T = number of tickets Ana gets on a randomly selected throw. Describe its shape.

(b) Find and interpret \(\mu_{T}\).

(c) Find and interpret \(\sigma_{T}\)

ANSWER:

Step 1 of 6

Given that Ana's score X on a single roll follows the distribution:

\(\begin{array}{lccccc} \hline \text { Score: } & 10 & 20 & 30 & 40 & 50 \\ \text { Probability: } & 0.32 & 0.27 & 0.19 & 0.15 & 0.07 \\ \hline \end{array}\)

 \({\mu _X} = 23.8\) and \({\sigma _X} = 12.63\)

 

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