The data below is the number of runs batted in (RBIs) for the top 40 ranked players in the MLB as of April 2019.     18 20 14 7 17 11 11 18 15 10 16 20 12 16 15 10 17 22 18 18 15 15 16 12 8 30 13 16 17 11 24 11 19 20 11 24 14 16 19 25 Summary Statistics:    If a player had 18 RBI, what would be his z-score?  Assuming the full distribution is approximately normal  68% of the players have between _________ and _________ RBI  95% of the players have between ________ and _________ RBI  99.7% of the players have between __________ and __________ RBI

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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The data below is the number of runs batted in (RBIs) for the top 40 ranked players in the MLB as of April 2019.  

 

18 20 14 7 17 11 11 18 15 10 16 20 12 16 15 10 17 22 18 18 15 15 16 12 8 30 13 16 17 11 24 11 19 20 11 24 14 16 19 25



Summary Statistics: 

 

If a player had 18 RBI, what would be his z-score? 

Assuming the full distribution is approximately normal 

  • 68% of the players have between _________ and _________ RBI 
  • 95% of the players have between ________ and _________ RBI 
  • 99.7% of the players have between __________ and __________ RBI 

For a player with 20 RBI, what is his percentile rank? 

What is the chance that a randomly selected player has between 15 and 20 RBI?

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