To find the area under the standard normal curve to the left of $z = 0.03$, we use the standard normal distribution table or a calculator.

1. Locate $z = 0.03$ in the standard normal table.
   The table provides the cumulative probability (area to the left) for any $z$-value. For $z = 0.03$, the corresponding cumulative probability is approximately:

   $P(Z < 0.03) = 0.5120$

This means the area under the curve to the left of $z = 0.03$ is 0.5120.

Final Answer:

The area under the standard normal curve to the left of $z = 0.03$ is 0.5120.

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Would you like additional details or a visual representation of the normal curve?

Related Questions:

1. What is the area under the curve to the right of $z = 0.03$?
2. How is the standard normal distribution used in probability problems?
3. What is the total area under the standard normal curve?
4. How do you calculate the area for negative $z$-values?
5. Can you explain how to find the area without using a table?

Tip:

Remember, the total area under the standard normal curve is always 1, so areas can also be found by subtraction.