Restaurant Wait Time Distribution

import matplotlib.pyplot as plt
import numpy as np
from scipy import stats

np.random.seed(112)

wait = np.random.exponential(15, 1500)
wait = wait[wait < 60]

kde = stats.gaussian_kde(wait)
x = np.linspace(0, 60, 500)
y = kde(x)

fig, ax = plt.subplots(figsize=(12, 6), facecolor='#ffffff')
ax.set_facecolor('#ffffff')

ax.fill_between(x, y, alpha=0.4, color='#F5276C')
ax.plot(x, y, color='#F5276C', linewidth=3)

ax.axvspan(0, 10, alpha=0.15, color='#6CF527', label='Quick (0-10 min)')
ax.axvspan(10, 20, alpha=0.1, color='#27D3F5', label='Reasonable (10-20 min)')
ax.axvspan(20, 60, alpha=0.1, color='#F5B027', label='Long (20+ min)')

mean_wait = np.mean(wait)
ax.axvline(mean_wait, color='#374151', linestyle='--', linewidth=2)
ax.text(mean_wait+1, max(y)*0.8, 'Avg: ' + str(round(mean_wait, 0)) + ' min', color='#374151', fontsize=10, fontweight='bold')

ax.set_xlabel('Wait Time (minutes)', fontsize=12, color='#1f2937', fontweight='500')
ax.set_ylabel('Density', fontsize=12, color='#1f2937', fontweight='500')
ax.set_title('Restaurant Wait Time Distribution', fontsize=16, color='#1f2937', fontweight='bold', pad=15)

ax.tick_params(colors='#374151', labelsize=10)
for spine in ax.spines.values():
    spine.set_color('#d1d5db')
ax.legend(loc='upper right', facecolor='#f9fafb', edgecolor='#d1d5db', labelcolor='#374151')
ax.grid(True, alpha=0.3, color='#e5e7eb')
ax.set_xlim(0, 60)

plt.tight_layout()
plt.show()