Binomial distribution in SciPy - Mini Project: Build & Apply

Understanding Binomial Distribution with SciPy

📖 Scenario: Imagine you are a quality control analyst at a factory. You want to understand the probability of getting a certain number of defective items in a batch of products.

🎯 Goal: You will create a simple program to calculate binomial probabilities using SciPy. This will help you find the chance of getting exactly a certain number of defective items in a batch.

📋 What You'll Learn

Create a variable for the number of trials (batch size).

Create a variable for the probability of a defective item.

Use SciPy's binom.pmf function to calculate the probability of exactly k defective items.

Print the calculated probability.

💡 Why This Matters

🌍 Real World

Quality control teams use binomial distribution to estimate the chance of defective products in batches, helping to maintain product standards.

💼 Career

Data analysts and quality engineers often calculate binomial probabilities to make decisions about product quality and process improvements.

1

Set up the batch size and defective probability

Create a variable called n and set it to 10 for the batch size. Create another variable called p and set it to 0.2 for the probability of a defective item.

SciPy

# Your code here

Need a hint?

Use simple assignment to create n and p variables.

2

Choose the number of defective items to check

Create a variable called k and set it to 3 to represent the exact number of defective items you want to find the probability for.

SciPy

n = 10
p = 0.2
# Your code here

Need a hint?

Just assign the number 3 to the variable k.

3

Calculate the binomial probability

Import binom from scipy.stats. Then create a variable called prob and set it to the result of binom.pmf(k, n, p) to calculate the probability of exactly k defective items.

SciPy

n = 10
p = 0.2
k = 3
# Your code here

Need a hint?

Use binom.pmf(k, n, p) to get the probability mass function value.

4

Print the probability result

Write a print statement to display the text "Probability of exactly 3 defective items:" followed by the value of prob.

SciPy

from scipy.stats import binom

n = 10
p = 0.2
k = 3

prob = binom.pmf(k, n, p)
# Your code here

Need a hint?

Use print("Probability of exactly 3 defective items:", prob) to show the result.