실제 적용: 데이터 과학을 위한 통계

# Set the parameters
mu = 1359
sigma = 77
lower_bound = 808
upper_bound = 1450

# Calculate the z-scores for the lower and upper bounds
z_lower = (lower_bound - mu) / sigma
z_upper = (upper_bound - mu) / sigma

# Calculate the probabilities using the cumulative distribution function (CDF)
prob_lower = norm.cdf(z_lower)
prob_upper = norm.cdf(z_upper)

# Calculate the percentage between the bounds
percentage = (prob_upper - prob_lower) * 100

print(f"The percentage of scores between {lower_bound} and {upper_bound} is approximately {percentage:.2f}%.")