About This Assignment

This is an extension problem, where ideas of the chapter will be taken further. You will be asked to show your work on the next assignment page by submitting your file(s).

Format: numeric answer "quiz"
Time limit: none
Number of attempts: 3 total

Academic Integrity

Getting help from your peers is not permitted.
Collaborating, or completing the quiz with others in the class, is not permitted.
Copying or reusing previous work is not permitted.
Open-book research for the quiz is permitted and encouraged.

Name of Problem

Introduction

The kth moment about zero is defined by $LaTeX: E((X-\mu_X)^k)$ , the kth standardized moment is defined by $LaTeX: E\left[\left(\frac{X-\mu_X}{\sigma_X}\right)^k\right]$ when k = 4 we call the last term the kurtosis (bulging).

Calculation

Use the following table to calculate the kurtosis:

Values of x and P(x)
x	0	1	2	3	4	5	6
P(x)	0.1	0.2	0.2	0.1	0.2	0.1	0.1

Make an R function to carry out the calculation it must print a named list containing the mean, variance, and kurtosis.

Now answer the quiz question.