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?