# Plotting Standard Normal Distribution using norm(x)
set terminal png size 400, 300
set output 'standard_normal_distribution.png'

# Set title and labels
set title "Standard Normal Distribution Plot"
set xlabel "x"
set ylabel "f(x)"
set xrange [-5:5]
set grid

# Plot the standard normal distribution
plot norm(x) title 'Standard Normal Distribution' with lines lw 2