Binomial distribution

High school (ages 12+)
Mathematics & Numbers

Name:

Date:

Step 1 · Read the article

Open the article and read it at the level above. Then answer the questions below in your own words.

https://smallwhale.org/articles/binomial-distribution

Write what each word means, using the article.

Do not copy the article. Write two things you learned, the way you would explain them to a friend.

Answers below are taken from the article’s stored facts, so they match what the student read.

1. How heavy is Binomial distribution?P(X=k) = C(n, k) p^k (1-p)^(n-k)
2. What is the historical context?Developed from Jacob Bernoulli's work on the 'doctrine of chances'
3. What is the approximation?Can be approximated by the normal distribution for large n
4. Why do we need the numbers 'n' and 'p' in the binomial distribution?'n' is how many times we flip the coin, and 'p' is the chance of getting heads each time.
5. How does the binomial distribution help doctors test new medicines?It shows the probability of a certain number of patients getting better, so doctors can see if the medicine works.

Discrete Probability Distribution: A function that gives the probability that a discrete random variable is exactly equal to some value.
Binomial Coefficient: The number of ways to choose k items from a set of n items without regard to the order.
Logistic Regression: A statistical model used for predicting the probability of a binary outcome.