Recognising the standard normal distribution matters because it can then be:

1. Standardising is what makes one table serve every normal distribution. 2. The task is to recognise the standard normal probability distribution and apply it appropriately. 3. Any normal distribution converts to it by turning values into z-scores. 4. That is what lets you compare normal probabilities across different studies. 5. Skewed data is not normal, so the method does not apply there. _Source: OpenStax Introductory Statistics 2e (CC BY 4.0), Ch 6 'The Normal Distribution', sections 6.1-6.3_