Details:

The purpose of this assignment is to apply data distributions todiscrete and continuous data and justify the selection of the distributions.

For this assignment, you will use the "Random Variables"dataset. You will use SPSS to analyze the dataset and address thequestions presented. Findings should be presented in a Word documentalong with the SPSS outputs.

Part 1:

Identify if the following random variables are discrete or continuous.

1. Number of defected items in a shipment.
2. Height ofmales (in mm) who attend Grand Canyon University.
3. Yearlyincome among all people in the United States.
4. Whether ornot a high school graduate is accepted into a college.
5. Timethat it takes for a person to run a mile.
6. The number ofemergency hospital visits that each person had in the last 12months.

Part 2:

Let X be a random variable of the outcome afterrolling a six-sided die one time that is not fair. In fact,the die is designed to never result in a 1 or 6, while the otheroutcomes (i.e., 2, 3, 4, and 5) are equally probable.

1. What are the individual probabilities for all possible valuesof X?
2. What are the cumulative probabilities forall possible values of X?
3. What is = ?
4. What is = ?
5. What is = ?

Part 3:

The dataset provided consists of the following random variables:

1. BMI: The body mass index of a random set ofpeople.
2. Distance: The distance (in feet) that a baseballplayer hit the ball.
3. Height: The height of males (in mm).
4. Income: The income (in dollars) of people in alarge company.
5. Pass: The outcome when taking an exam (1=Pass;0=Fail).
6. Wait Time: The time (in minutes) that it takes whenwaiting for the train.

Answer each question below. Use SPSS as needed, and include thesoftware outputs as part of the Word document you submit.

1. What is a Q-Q plot?
2. Given a set of realized values ofa random variable, how can a Q-Q plot be used to assess thedistribution of the random variable?
3. Using histograms andQ-Q plots (except for binomial), match each random variable to oneof the following distributions: Binomial (with N=1, P=0.7),Chi-square (with d.f.=20), Exponential, Lognormal, Normal, andUniform.

APA format is not required, but solid academic writing is expected.

This assignment uses a grading rubric. Please review the rubricprior to beginning the assignment to become familiar with theexpectations for successful completion.