Chapter 14 - 18
Week 5
Learning Objectives
Chapter 14: Bernoulli RVs
Bernoulli RV
Scenario: One trial, with outcome success or failure.
Properties of Bernoulli r.v.’s
Example 1
Example 1.
We roll a fair 6-sided die.
We get $1 if we roll a 5, and nothing otherwise.
Let \(X\) be how much money we get.
Find the mean and variance of \(X\).
Solution:
Example 2
Example 2.
Suppose we roll a fair 6-sided die 50 times.
We get $1 every time we roll a 5, and nothing otherwise.
Let \(X\) be how much money we get on the 50 rolls.
Find the mean and variance of \(X\).
Solution:
Chapter 15: Binomial RVs
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Scenario: There are \(n\) independent trials, each resulting in a success or failure, with constant probability in each trial. We are counting the number of successes (or failures).