Final answer:
To calculate the relative frequency of home run distances between 350 and 369.9 feet, find the z-scores for these values and then determine the probability of a value falling between those z-scores using the standard normal distribution.
Step-by-step explanation:
The question asks us to find the relative frequency of home run distances between 350 and 369.9 feet given a normal distribution with a mean of 395.5 feet and a standard deviation of 24.2 feet. To solve this, we need to calculate the z-scores for 350 and 369.9 and then use the standard normal distribution to find the probability of a value falling between those z-scores. The z-score is given by the formula z = (X - μ) / σ, where X is the value, μ is the mean, and σ is the standard deviation.
To find the relative frequency for home run distances between 350 and 369.9 feet:
- Calculate the z-scores for 350 and 369.9.
- Use the z-scores to find the probability for the corresponding range on the standard normal distribution.
- This probability represents the relative frequency for home run distances in that range.