Label each problem and clearly identify your answers. When complete submit your answers as a single document.

Problem 1

You are given the following Discrete Probability Distribution p(x)

Row	x	P(x)
1	1	0.1
2	2	0.156
3	3	0.147
4	4	0.2
5	5	0.222
6	6	0.056
7	7	0.02
8	8	0.099
		1

Provide the following:

1. Mean (Expected value)
2. Variance
3. Standard Deviation
4. Graph of the Probability Distribution

Problem 2

Describe the Binomial and Poisson Distributions. What are the major differences? Where or when would you use each of these? Be specific and assume the reader does not have knowledge of these two types of distributions.

Problem 3

Assume that the waiting time x for an elevator is uniformly distributed between zero and six minutes.

1. Write the formula for the probability curve of x.
2. Find P(2.5 x 4).
3. Find P(3 x 6).
4. Find P({0 x 3})
5. Find P({4.5 x 6}).

Problem 4

Given the following Binomial Probability Distribution information for sales of goods answer the questions below:

Binomial Distribution
Data
Sample size (n)	17	Enter Sample Size (n)
Probability of an event of interest	0.65	Enter Probability of Success (p)

1. What is the Mean and Variance?
2. There are exactly 4 sales?
3. There are at least 5 sales?
4. There are >= 4 and <= 8 sales?
5. There are less than or equal to 10 sales?

Problem 5

Scores on a business statistics final exam are normally distributed with a mean of 74 and standard deviation of 8.

1. z value for the exam score of 66 equals?
2. z value for the exam score of 90 equals?
3. Probability that theexam score is greater than 84 equals?
4. Would you consider the person getting a 100 on the exam a statistical outlier? Why?