MATH1280 Statistics 1 Learning journal UNIT5
Grades 10/0-10
1. Learning Journal Reflective Comments:
Write short reflective comments or notes about your learning activities during the week. It is highly recommended that you make these entries on a daily basis. You will be assessed on the completeness of your Learning Journal, and the quality of your self-reflection.
You should date each entry, and use clear titles and sub-headings. These entries should be brief, direct sentences indicating quick comments or notes such as:
* when you completed each step in the Learning Guide during the week,
* any problems or unexpected events that occurred during the week (including
problems understanding new or old material), and
* any other noteworthy that might affect your performance in this class.
There is no need to include personal information or details of family events, but be sure to mention the existence of any situations that will positively or negatively affect your ability to focus on the classwork.
2. Vocabulary and R functions
We are now covering material that is not common knowledge, and it is now very important to include citations when you use an idea from another source (book, Internet, etc). Be sure to add a citation and reference entry for the definition questions below.
a) What is an exponential distribution (include an APA citation)? ___________________________
b) When would you use an exponential distribution? ________________________
c) What is a binomial distribution (include an APA citation)?_______________________
d) When would you use a binomial distribution? ___________________
3. Task
Run these commands in R, then use your own words to describe what the resulting numbers represent. You can get some information about the functions by using the help commands in R (such as ?pbinom to get information about the pbinom() command in R):
a) pbinom(q=5, size=10, prob=1/6)
b)
n=10
p=.5
x=9
pbinom(x, n, p)
c) punif(5, min=1, max=10) - punif(4, min=1, max=10)
-------------------------------------------------------------------------------------------------------------------------------------------------------
1. Learning Journal Reflective Comments:
7/16 Reading learning guide and the textbook
7/17 Reading the textbook again and understanding the contents
7/18 Self-quiz and using R programs
7/20 Discussion forum and rating written assignment unit 4
7/21 Learning Journal
2. Vocabulary and R functions
We are now covering material that is not common knowledge, and it is now very important to include citations when you use an idea from another source (book, Internet, etc). Be sure to add a citation and reference entry for the definition questions below.
a) What is an exponential distribution (include an APA citation)?
"The Exponential distribution is frequently used to model times between events," and it is denoted by X Exponential (lambda) (Yakir, 2011, p.79).
b) When would you use an exponential distribution?
It can be used to represent the interval between two events. For example, it can represent the time it takes for the next customer to arrive at the gas station after the last customer arrives.
c) What is a binomial distribution (include an APA citation)?
Binomial distribution measures the probability of success or failure in an experiment or investigation repeated multiple times (Yakir, 2011).
d) When would you use a binomial distribution?
"The Binomial distribution is a reasonable model for the number of people that develop high fever as result of the vaccination" ((Yakir, 2011, p.82).
3. Task
Run these commands in R, then use your own words to describe what the resulting numbers represent. You can get some information about the functions by using the help commands in R (such as ?pbinom to get information about the pbinom() command in R):
a) pbinom(q=5, size=10, prob=1/6)
[1] 0.9975618
It means the cumulative probability of 0 to 5 success, and it shows a 99.7 percent chance.
b)
n=10
p=.5
x=9
pbinom(x, n, p)
[1] 0.9990234
It calculates the cumulative probability of selecting a number less or equal to 9 from 10 trials when the parameter is 0.5, and it shows a 99.9% chance.
c) punif(5, min=1, max=10) - punif(4, min=1, max=10)
[1] 0.1111111
It calculates the cumulative probability of the minimum number in a uniform distribution.
References
Yakir. B, (2011). Introduction to Statistical Thinking (With R, Without Calculus). Retrieved from https://my.uopeople.edu/pluginfile.php/1097279/mod_book/chapter/267923/MATH1280RInstall Notes. pdf
댓글