5.14Supplemental Exploration: Random variable rules

Skee-Ball

In the game of Skee-Ball, a player rolls a small ball up a ramp, hoping to land the ball in the holes with the highest point values (see the diagram of point values). The game of Skee-Ball has gained in popularity in recent years, with many cities running Skee-Ball leagues. There is even a Skee-Ball national championship!

Todd and Jill, both experienced Skee-Ball players, are considering entering a partner Skee-Ball competition hosted by their local league.

Letbe the score associated with the ball landing in a particular region (0, 10, 20, 50, or 100) on a single roll when Todd plays the game. Based on his long history of playing this game, the probability distribution for Todd's score is

PARTICIPATIONACTIVITY

5.14.1:Question 1.

Determine the expected value of Todd's score from a single roll, E(T).

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Keep your answer in mind as you continue.

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PARTICIPATIONACTIVITY

5.14.2:Question 2.

Write a sentence interpreting what this expected value means in this context.

5.14 Supplemental Exploration: Random variable rules Skee-Ball In the game of Skee-Ball, a player rolls a small ball up & ramp, hoping to land the ball in the holes with the highest point values (see the diagram of point values). The game of Skee-Ball has gained in popularity in recent years, with many cities running Skee-Ball leagues. There is even a Skee-Ball national championship! 0 @ 10 Todd and Jill, both experienced Skee-Ball players, are censidering entering a partner Skee-Ball competition hosted by their local league Let T be the score associated with the ball landing in a particular region (0, 10, 20, 50, or 100) on a single roll when Todd plays the game. Based on his long history of playing this game, the probability distribution for Todd's score is 't(points) o 10 , 20 50 \\mo' PO 005010025040 0.20 0.4 203 :'2. g a 02 0.1 0 0 20 40 60 30 100 Todd's point values I PARTICIPATION 5 ] I ] E ] m = My library > MTH 218: Statistics Il home = - ZyBOGk'S 5.14: Supplemental Exploration: Random B @ O Brendatemandez ~ So, the expected value of Todd's score from a single roll of a standard six-sided dieis { 3.5 ). If Todd is using a different type of die or if there are other rules affecting the score. Keep your answer in mind as you continue View your last submission w Feedback? PARTICIPATION | ACTIVITY 5.14.2: Question 2. D Write a sentence interpreting what this expected value means in this context Feedback