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📚 Python for Introductory Statistics: Lab Workbook
Chapters ▾
1. Introduction to Python2. Python List3. Python Syntax4. Python Loops5. Frequency Distributions and Graphs6. Measure of Center and Variation7. Measures of Position8 Discrete Probability Distributions9. Continuous Probability DistributionConfidence Intervals11. Hypothesis Testing12. Linear Regression and Correlation13. Analysis of Categorical Data14. Advanced Statistics TopicsLab AnswersReferencesAppendix 1Appendix 2: Random Integer GeneratorAppendix 3: FactorialsResources

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

view answer

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.

view answer

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.