Chapter 8:    The Binomial and                           Geometric Distributions

Key Vocabulary:

§         binomial setting

§         binomial random variable

§         binomial distribution

§         B(n, p)

§         probability distribution function

§         cumulative distribution function

§         binomial coefficient

§

§         “n choose k”

§         factorial

§         geometric distribution

Calculator Skills:

§         binompdf (n, p, X )

§         binomcdf (n, p, X )

§         randBin (n, p, #trials)

§         geometpdf (p, # obs for success)

§         geometcdf (p, # obs for success)

8.1    The Binomial Distributions (pp.415-434)

1.      What are the four conditions for the binomial setting?

2.      In the binomial distribution, what do parameters n and p represent?

3.      What is meant by B(n, p) ?

4.      What is the difference between a probability distribution function and a cumulative distribution function?

5.      In the formula , what does n represent?  What does k represent?  What does the value of  represent?

6.      Complete the following table of values:

 1! 1 1 2! 2 x 1 2 3! 3 x 2 x 1 6 4! 4 x 3 x 2 x 1 24

 5! 5 x 4 x 3 x 2 x 1 6! 7! n!

7.      What is the value of  ?

8.      What are the mean and standard deviation of a binomial random variable?

8.2    The Geometric Distributions (pp. 434-444)

1.      What are the four conditions for the geometric setting?

2.      Explain the difference between the binomial setting and the geometric setting.

3.      If X has a geometric distribution, what does (1 – p)n – 1p represent?

4.      What is the expected value of a geometric random variable?