8.2 Binomial Probability Distribution

Watch demo video 1

Watch demo video 2

Lab 8.2.1

21% of all Chicagoans live in poverty. If 30 Chicagoans are randomly selected, find the probability that

1. Exactly 1 of them live in poverty
2. At most 4 of them live in poverty
3. At least 4 of them live in poverty

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Binomial Probability Plot

Example

Use the binomplot function below to plot a binomial distribution with n = 20 and probability of success is 0.70.

# binomial graph with n and p
def binomplot(n,p):
  from scipy import stats
  import numpy as np
  import matplotlib.pyplot as plt

  x = np.arange(0,n+1)
  y = stats.binom.pmf(x,n,p)
  plt.bar(x,y,width=0.2)

  plt.suptitle("Binomial Plot")
  plt.xlabel("x values")
  plt.ylabel("probability")

  return plt.show()

Lab 8.2.2

Use the binomplot function to plot a binomial distribution with n = 10 and probability of success is 0.60.

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Adapted from Python for Introductory Statistics: Student's Lab Workbook, by Simon Aman (Truman College, City Colleges of Chicago), licensed under CC BY 4.0. Changes were made: reformatted as an accessible XYZ web edition with live in-browser code cells. License: CC-BY-4.0.