Binomial

Question 1

What are the conditions for a random variable to be a binomial?

Answer 1

• Fixed number of observations (n)
• Observations are independent
• Outcome of each observation is a success or failure (2 options)
• The probability of a success (p) and failure (q) is constant across trials

Question 2

State the equation of the mean and standard deviation of a binomial

Answer 2

• Mean μ = np
• Standard deviation 𝜎 = √npq

Question 3

Explain what each gives you:

1. dbinom
2. pbinom
3. qbinom

Answer 3

1. Binomial probability P(x)
2. Cumulative binomial probability (left to right)
3. Binomial value for the cumulative probability (gives an x)

Question 4

Binomial vs. normal?

Answer 4

• Discrete vs. continuous