Current learning objective: Using the Normal Distribution Question 21 Score: 0 of 4 points Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 268 feet and a standard deviation of 57 feet. Note: All calculations should be rounded to four decimal places. 1. If \( X= \) distance in feet for a fly ball, then \( X \sim \) Enter vour answer

In the world of statistics, when we say a random variable \( X \) follows a normal distribution, we can express it as \( X \sim N(\mu, \sigma^2) \), where \( \mu \) is the mean and \( \sigma \) is the standard deviation. In this case, the fly ball distance would be represented as \( X \sim N(268, 57^2) \). This means that the average distance a fly ball is hit is 268 feet, with distances varying around this average at a standard deviation of 57 feet. Understanding the normal distribution isn't just theoretical; it's a key player in baseball statistics, helping analysts evaluate player performance and predict outcomes based on real data. For example, coaches can assess the likelihood of certain hitters reaching particular distances, informing training and game strategies. Plus, it sets the stage for exciting betting lines and fantasy baseball decisions. Who knew that math could impact America’s favorite pastime so significantly?