Summary
Summary STK110-TUTORIAL 7B
- Course
- STK 110 (STK110)
- Institution
- University Of Pretoria (UP)
with these past papers you are guaranteed a distinction with lots of practice!!!!!!!!!
[Show more]
Connected book
Book Title:
Author(s):
- Edition:
- ISBN:
- Edition:
Seller
Follow
Content preview
STK110 Preparation sheet: TUT 7B memo 2023Please note: When applicable, please round to four (4) decimal places
Question 1 is based on the following information:
It is known that 72% of STK110 students have uncapped internet access. Consider a random sample of
20 STK110 students.
Let 𝑥 = the number of STK110 students with uncapped internet access.
𝑥
𝑝̅ = 𝑛 = the proportion of STK110 students with uncapped internet access.
Use the following extract from Excel to answer questions a to e:
Formula sheet Value sheet
Take note: Rows are hidden for 𝑥 ≤ 6 and 𝑥 ≥ 17.
a. Calculate the total number of experimental outcomes.
220 = 1048576
b. Give the total number of experimental outcomes that with result in 7 STK110 students with
uncapped internet access.
𝑪𝟐𝟎
𝟕 = 𝟕𝟕𝟓𝟐𝟎
c. Calculate the probability that only the last two STK110 students will have no uncapped internet
access (5 dec)
𝑃(𝑌, 𝑌, 𝑌, 𝑌, 𝑌, 𝑌, 𝑌, 𝑌, 𝑌, 𝑌, 𝑌, 𝑌, 𝑌, 𝑌, 𝑌, 𝑌, 𝑌, 𝑌, 𝑁, 𝑁) = 0.7218 0.282 = 0.00021
d. Calculate the probability that exactly 9 of the STK110 students in the random sample have no
uncapped internet access.
20
𝑃(𝑥 = 11) = ( ) (0.28)9 (0.82)11 = 0.0479
11
e. Determine the probability that more than 10 of the STK110 students in the random sample have no
uncapped internet access.
Means 11 or more do not have uncapped.
If 11 or more do not have uncapped, then 9 or less do have uncapped.
𝑃(𝑥 ≤ 9) = 0.0100
f. Calculate the probability that the proportion of STK110 students with uncapped internet access is
more than 0.85.
0.85 − 0.72
𝑃(𝑝̅ > 0.85) = 𝑃 (𝑧 > ) = 𝑃(𝑧 > 1.29) = 1 − 0.9015 = 0.0985
0.1004
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 EFT, 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 this summary from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller thembisilemagudulela. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy this summary for R70,00. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
67096 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy summaries for 14 years now