1. Learning Journal Re ective Comments:
Thursday September 29. Starting
Today I started reading the assigned chapter. I studied those distributions a few years ago. I'm excited to learn more about R
Friday September 30. Poisson and Exponential Distribution
From reading I understood that there is a relationship between the
I'm writing it down as something I can look into later, maybe for a more advanced course.
Saturday October 1. Watch videos.
Today I went through several videos and also a book I have at home about these distributions. I think now I have things clearer.
Sunday October 2. Day of rest.
Today I could not dedicate time to the course. I was with my family
Monday October 3. Self Quiz
Today I completed this assessment. I like it because it allows me to apply the concepts. It was a bit laborious but I got full marks.
Tuesday October 4. Discussion Forum.
I participated in the Forum. I learn by doing it because it makes me think of situations in my environment in which I can apply what I have learned. I also read the shares of some colleagues. Each one applies the course to their realities which broadens my perspective.
Wednesday, October 5. Assignment.
I reviewed the participations of my companions. It was stimulating to see the e ort they make to learn. Even though I can't see them, seeing their work makes me feel like we are a learning community
2. Vocabulary and R functions
a) What is an exponential distribution (include an APA citation)?
A continuous random variable X is said to have an exponential distribution with parameter A>0, shown as X~Exponential(), if its PDF is given by:
(Pishro-Nik, 2014)
Regarding this distribution, it is said that it has no memory because the past does not in uence its future behavior. Each instance is like the start of a new random period, which has the same distribution regardless of how much time has passed (Gupta, 2021).
b) When would you use an exponential distribution?
It is commonly used to model the time between events (Pishro-Nik 2o14). Some examples are the duration in minutes of phone calls, the amount of time, in months, that a car battery lasts.
In this distribution there are fewer large values and more small values. For example, marketing studies have shown that the amount
exponential distribution. There are more people spending small amounts of money and fewer people spending large amounts of money (Holmes et al., 2017).
c) What is a binomial distribution (include an APA citation)?
A continuous random variable has a binomial distribution when it is a
binomial process. A binomial process, often called a Bernoulli process after the rst person to fully develop its properties, is any case in which there are only two possible outcomes on any trial, called successes and failures. It gets its name from the binary number system, in which all numbers reduce to 1 or 0 (Holmes et al. 2017). The PDF is given by: