Chapter
8: The Binomial and Geometric Distributions
Key Vocabulary:
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?