8. Binomial & Geometric Random Variables  (6 days)

 

Binomial settings & the binomial random variable  BINS; X = # of successes; introduction to calculating binomial probability

8.1

1. Chapter objectives and notes

 

 

2. TPS 8.1, 8.3, 8.4, 8.5, 8.8, 8.11, 8.12

 

3. Special Problem 8C: The game of craps

1. Students will be provided with objectives and notes, including key terms, to serve as study aids.

2. Students will apply text concepts in text exercises.

3. Students will expand their earlier work and understanding of a famous game of chance.

Binomial setting

Binomial random variable

Mean and standard deviation of a binomial random variable

Normal approximation for binomial distributions

Binomial distributions: mean and variance Using the calculator; Binomial pdf vs. binomial cdf

 

1. TPS 8.13, 8.14, 8.16, 8.23
Tech Skill: Binomial distributions on the calculator

 

1. Students will use the calculator and apply text concepts in text exercises and simulations.

 

Normal approximation to the binomial distribution; binomial simulations  Estimating binomial probabilities with Normal calculations

 

1. TPS 8.19, 8.24, 8.27, 8.29, 8.30
WA: Normal Approximation to Binominal Distribution or applet at http://www.stat.berkeley.edu/~stark/Java/Html/BinHist.htm

2. Special Problem 8D: Chevalier’s dilemma

1. Students will use the calculator and apply text concepts in text exercises and simulations.

2. Students experience a well-known Baroque game of chance.

 

Geometric distributions  BITS; Y = # of trials up to and including 1st success; calculating geometric probabilities

 

8.2

1. TPS 8.36, 8.41, 8.43, 8.44,
Tech Skills: Geometric distributions on the calculator 

 

1. Students will use the calculator and apply text concepts in text exercises and simulations.

Geometric distributions

Geometric setting

Rule for calculating geometric probabilities

PRACTICE PROBLEMS WITH BINOMIAL & GEOMETRIC RV'S

 

TPS 8.50, 8.51, 8.52, 8.59, 8.60, 8.63, 8.65, 8.66, 8.67, 8.68

1. Students will use the calculator and apply text concepts in text exercises and simulations.

 

QUIZ ON BINOMIAL &

GEOMETRIC RV'S

 

Case study: ESP