What are the chances of a horse matching or beating Secretariat's record?

Assume that the Belmont winners' times are Normally distributed (with the 1970 and 1973 years removed), what is the probability that the winner of a given Belmont Stakes will run it as fast or faster than Secretariat?

This exercise is part of the course

Statistical Thinking in Python (Part 1)

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Exercise instructions

Take 1,000,000 samples from the normal distribution using the rng.normal() function. The mean mu and standard deviation sigma are already loaded into the namespace of your IPython instance.
Compute the fraction of samples that have a time less than or equal to Secretariat's time of 144 seconds.
Print the result.

Hands-on interactive exercise

Have a go at this exercise by completing this sample code.

# Take a million samples out of the Normal distribution: samples


# Compute the fraction that are faster than 144 seconds: prob


# Print the result
print('Probability of besting Secretariat:', prob)

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