11/14/2016

Markov Inequality

Chebychev's Inequality

• Example - Suppose the length of time for one individual to be served at a cafeteria is a R.V. that follows an exponential distribution with mean 4.
  • What can we assert about the length of time it takes a person to be served at the cafeteria, if we use Chebychev's inequality with k=1.5?
• What is the exact probability for this event?
• What does this tell you about the inequality?

The Central Limit Theorem

Please read Sections 8.4 - 8.5 for class on Wednesday.