4/13/2020

Chapter 14 - Probability

Class Activity

• Suppose that Lebron James will take five free throws in an NBA playoff game. What is the probability distribution for the number of shots (out of five) that he will make?

Probability (Review)

• Basic Axioms
• Relative frequence interpretation of P(A)
• Addition rule for disjoint events: P(AUB) = P(A) + P(B), if A and B are disjoint
• General addition rule: P(A or B)=P(A) + P(B) - P(A and B)
• Countable versus uncountable sets
• Counting: permutations versus combinations
• Conditional probability: P(A|B) = P(A and B)/P(B)
• Multiplication rule: P(A and B) = P(A|B)P(B) = P(B|A)P(A)
• Independence: P(A|B) = P(A)
• Multiplication rule for independent events: P(A and B) = P(A) x P(B)
• Law of Total Probability

Random Variables

• Bernoulli random variable
  • probability distribution
  • mean
  • variance
  • standard deviation
• Binomial random variable
  • probability distribution
  • mean
  • variance
  • standard deviation

Problem Session Exercises for next time

• Chapter 14 Exercise 34, 35, 41 and 42 on pages 578 and 579.

Please complete your reading of Chapters 14 and begin Chapter 15 for class on Wednesday.