100% satisfaction guarantee Immediately available after payment Both online and in PDF No strings attached
Previously searched by you
Summary Statistics Project Final 1 .docx MAT-154 Statistics Project Final Problem: Machines have the probability of falling 1/6 every year. I need to simulate how long will it take to fail in average of 20 times. Part I (Empirical Analysis):I simulated thi$5.49
Add to cart
Summary Statistics Project Final 1 .docx MAT-154 Statistics Project Final Problem: Machines have the probability of falling 1/6 every year. I need to simulate how long will it take to fail in average of 20 times. Part I (Empirical Analysis):I simulated thi
Statistics Project Final 1 .docx MAT-154 Statistics Project Final Problem: Machines have the probability of falling 1/6 every year. I need to simulate how long will it take to fail in average of 20 times. Part I (Empirical Analysis):I simulated this by rolling the dice until I obtained 1 eve...
statistics project final 1 docx mat 154 statistics project final problem machines have the probability of falling 16 every year i need to simulate how long will it take to fail in average of
Written for
Grand Canyon University
GCU
All documents for this subject (708)
3
reviews
By: amcguire5746 • 2 year ago
By: andrewcontreras011 • 2 year ago
By: kabassita • 3 year ago
Seller
Follow
helperatsof1
Reviews received
Content preview
MAT-154
Statistics Project Final
Problem: Machines have the probability of falling 1/6 every year. I need to simulate how long
will it take to fail in average of 20 times.
Part I (Empirical Analysis):I simulated this by rolling the dice until I obtained 1 every time.
The average of the numbers I got is [4.7].This means that in average, it will take about 4.7 years
until the machine fails. The numbers I obtain in each round until I got a 1 are
[1,3,6,1,2,1,4,9,5,14,21,2,5,3,3,3,2,2,2,5]. I took the difference of these values from the mean [-
0.3]. Each of these values squared are [13.69, 2.89, 1.69, 13.69, 7.29, 13.69, 0.49, 18.49, 0.09,
86.49, 265.69, 7.29, 0.09, 2.89, 2.89, 2.89, 7.29, 7.29, 7.29, 0.09]. The sum of all of the squares
are [462.2], and the divided by the sample size (20) gave me [23.11]. Taking the square root of
this give me [4.807] which is the standard deviation. In conclusion, it takes 4.7 years on average
before the machine fails, and the low standard deviation tell us that it is reliable because the
difference between numbers is small.
Part II (Theoretical Analysis-Approximations):
Now, we havethe calculations of 20 rounds. With this information we are able to calculate an
approximation of an infinite number of simulations. This includes Expected value, Variance, and
Standard deviation of the variable X(Likelihood of machine to fail). The probability (P) of the
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller helperatsof1. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $5.49. You're not tied to anything after your purchase.
