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Checking the result

Now try generating some samples and calculating the expected value and variance yourself, then using the method provided by binom to check if the sample values match the theoretical values.

The binom object and describe() method from scipy.stats are already loaded, so you can make the calculations.

This exercise is part of the course

Foundations of Probability in Python

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Exercise instructions

  • Calculate the sample mean and variance of the sample variable.
  • Calculate the expected value using n=10 and p=0.3, and calculate the variance using mean, and 1 - p.
  • Use a binom method to get the expected value and variance for 10 coin flips with p=0.3.

Hands-on interactive exercise

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

sample = binom.rvs(n=10, p=0.3, size=2000)

# Calculate the sample mean and variance from the sample variable
sample_describe = describe(____)

# Calculate the sample mean using the values of n and p
mean = ____*____

# Calculate the sample variance using the value of 1-p
variance = mean*____

# Calculate the sample mean and variance for 10 coin flips with p=0.3
binom_stats = binom.stats(n=____, p=____)

print(sample_describe.mean, sample_describe.variance, mean, variance, binom_stats)
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