Summary
Summary STK110-TUTORIAL 6
- Course
- Institution
- Book
with these past papers you are guaranteed a distinction with lots of practice!!!!!!!!!
[Show more]
Connected book
Book Title:
Author(s):
- Edition:
- ISBN:
- Edition:
More summaries for
-
Test Bank to Accompany Essentials of Modern Business Statistics with Microsoft® Excel®,Anderson,6e
-
Official© Solutions Manual to Accompany Essentials of Modern Business Statistics with Microsoft® Excel®,Anderson,6e
-
STK110-TUTORIAL 10
Seller
Follow
thembisilemagudulela
Content preview
STK110 Preparation sheet: TUT6 2023Questions 1 to 4 are based on the following information:
Assume the time to fly from Durban to Johannesburg is uniformly distributed
between 65 minutes and 70 minutes.
Let 𝑥 = the time to fly from Durban to Johannesburg
Question 1
The probability density function of 𝑥 is:
Question 2
The expected time (in min) to fly from Durban to Johannesburg is:
Question 3
Show that the probability of a flight time of between 64 and 66 minutes is the same as the probability of a
flight time of between 69 and 73 minutes.
Question 4
In 80% of the time we can expect the flight time to be at most _______________ minutes.
Questions 5 to 7 are based on the following information:
A local municipality installs 2 000 electric street lamps in a new housing
development. The life expectancy of these lamps, measured in hours,
follows a normal distribution with a mean of 1 000 hours and a variance
of 40 000.
Let 𝒙 = the life expectancy of these lamps
Use both your tables and EXCEL to find the answers
Question 5
(i) What is the probability for a random lamp to fail within the first 700 hours.
(ii) What number of lamps might be expected to fail within the first 700 hours?
Question 6
(i) What is the probability for a random lamp to fail between 900 and 1 300 hours?
(ii) What number of lamps might be expected to fail between 900 and 1 300 hours?
Question 7
1% of the lamps burns less than r hours. Calculate r.
Question 8
5% of the lamps burns more than b hours. Calculate b.
Preliminary Memo
Q2 67.5 min
Q3 𝑃(64 < 𝑥 < 66) = 0.2 and 𝑃(69 < 𝑥 < 73) = 0.2
Q4 At most 69 min
Q5 (i) 0.0668 (ii) Approx 134
Q6 (i) 0.6247 (ii) Approx 1249
Q7 Approx 534 hours
Q8 Approx 1328 hours
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 thembisilemagudulela. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $3.98. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
72042 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy study notes for 14 years now