Part Two – Discrete Probability Distribution
After filling in the table above with your experimental probability, answer the following questions. Show all work for full credit. Calculations should be performed in Excel while answers including an explanation of steps using proper terminology are provided in a separate document.
1. What is the expected outcome for rolling a six-sided die using the discrete probability distribution table above?
2. What is the probability of rolling an even number according to the discrete probability distribution table above?
How does this compare to the theoretical probability of 0.5?
Explain why you think there is a difference between the Explain why you think there is a difference between the theoretical probability and the experimental probability you found. and the experimental probability you found.
3. Create a binomial probability distribution based on the discrete probability distribution table above where a success is rolling an even number. Answer the following questions:
How do you know this is a Binomial Probability Distribution? Explain by showing how this example fits all four properties of a Binomial Probability Distribution.
Define n,p,q.
What is the probability that you will roll exactly 12 even numbers?
What is the probability that you will roll at least 12 even numbers?
Find the expected number of even numbers that you will roll.