Many say that baseball, which is commonly called America's National pastime, is a game with a low success rate. Consider Mookie Betts, one of the greatest players the sport has ever seen. He had a batting average (BA) of .346 during the 2018 season. His batting average was the highest of all players for that year. A player's batting average is computed by dividing the number of times a player has a hit by the player's total number of at-bats. Number of Hits BA Number of At-Bats Notice that this formula looks a lot like a probability where the sample space is the set of all at-bats and the event is getting a hit. When fans talk about batting averages, they commonly think of it in terms of probability. That is, if a player is batting .250, then there is a 25% chance that they will get a hit at their next at-bat. 1. Do you agree with the interpretation of the batting average as a probability? Is it possible to compute the theoretical probability that a player will get a hit when at bat? Explain your answer. Let's return our attention to Mookie Betts. 2. If Mookie Betts had 520 at-bats during the 2018 season, how many hits did he have that season? Round your answer to the nearest whole number. Suppose that Mookie Betts had another 20 at-bats during the 2018 season. Assume he had a BA of .500 for those extra 20 at-bats. 3. What would his new 2018 batting average be with these extra 20 at-bats? During the 2018 season, the entire Major League Baseball batting average was 0.248. That is, on average, a player would get a hit 24.8% percent of the time at bat. 4. Perform an internet search to find the definition of Field Goal Percentage ( FG%) in basketball. Find the National Basketball Association average FG% in the 2018-2019 season. Explain this number in terms of attempts at scoring and actual points scored. 5. Using this information, decide which sport has a higher success rate. Explain your answer.
Many say that baseball, which is commonly called America's National pastime, is a game with a low success rate. Consider Mookie Betts, one of the greatest players the sport has ever seen. He had a batting average (BA) of .346 during the 2018 season. His batting average was the highest of all players for that year. A player's batting average is computed by dividing the number of times a player has a hit by the player's total number of at-bats. Number of Hits BA Number of At-Bats Notice that this formula looks a lot like a probability where the sample space is the set of all at-bats and the event is getting a hit. When fans talk about batting averages, they commonly think of it in terms of probability. That is, if a player is batting .250, then there is a 25% chance that they will get a hit at their next at-bat. 1. Do you agree with the interpretation of the batting average as a probability? Is it possible to compute the theoretical probability that a player will get a hit when at bat? Explain your answer. Let's return our attention to Mookie Betts. 2. If Mookie Betts had 520 at-bats during the 2018 season, how many hits did he have that season? Round your answer to the nearest whole number. Suppose that Mookie Betts had another 20 at-bats during the 2018 season. Assume he had a BA of .500 for those extra 20 at-bats. 3. What would his new 2018 batting average be with these extra 20 at-bats? During the 2018 season, the entire Major League Baseball batting average was 0.248. That is, on average, a player would get a hit 24.8% percent of the time at bat. 4. Perform an internet search to find the definition of Field Goal Percentage ( FG%) in basketball. Find the National Basketball Association average FG% in the 2018-2019 season. Explain this number in terms of attempts at scoring and actual points scored. 5. Using this information, decide which sport has a higher success rate. Explain your answer.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Transcribed Image Text:Many say that baseball, which is commonly called America's National pastime, is a game with a low success rate. Consider
Mookie Betts, one of the greatest players the sport has ever seen. He had a batting average (BA) of .346 during the 2018 season.
His batting average was the highest of all players for that year.
A player's batting average is computed by dividing the number of times a player has a hit by the player's total number of at-bats.
BA=
Number of Hits
Number of At-Bats
Notice that this formula looks a lot like a probability where the sample space is the set of all at-bats and the event is getting a hit.
When fans talk about batting averages, they commonly think of it in terms of probability. That is, if a player is batting .250, then
there is a 25% chance that they will get a hit at their next at-bat.
1. Do you agree with the interpretation of the batting average as a probability? Is it possible to compute the theoretical
probability that a player will get a hit when at bat? Explain your answer.
Let's return our attention to Mookie Betts.
2. If Mookie Betts had 520 at-bats during the 2018 season, how many hits did he have that season? Round your answer to the
nearest whole number.
Suppose that Mookie Betts had another 20 at-bats during the 2018 season. Assume he had a BA of .500 for those extra 20 at-bats.
3. What would his new 2018 batting average be with these extra 20 at-bats?
During the 2018 season, the entire Major League Baseball batting average was 0.248. That is, on average, a player would get
a hit 24.8% percent of the time at bat.
4. Perform an internet search to find the definition of Field Goal Percentage (FG%) in basketball. Find the National Basketball
Association average FG% in the 2018-2019 season. Explain this number in terms of attempts at scoring and actual points scored.
5. Using this information, decide which sport has a higher success rate. Explain your answer.
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