Exam (elaborations)
ENGR371 PROBABILITY AND STATISTICS SECTION W CONCORDIA UNIVERSITY
- Course
- Institution
ENGR371 PROBABILITY AND STATISTICS SECTION W CONCORDIA UNIVERSITY
[Show more]
Seller
Follow
smartzone
Reviews received
Content preview
ENGR371 PROBABILITY AND STATISTICS SECTION WCONCORDIA UNIVERSITY
Concordia University
ENGR371 – Probability and Statistics
Section W
Midterm Exam II Winter
1) (5 Marks) Let f (x) kx 2 , if 0 ≤ x ≤ 2 and 0 otherwise be the pdf of a random
variable X.
a) Find the value of k.
b) Find c such that P(X ≤ c) = 0.1.
c) Find the CDF of X.
2) (5 Marks) Flaws occur in the interior of plastic used for automobiles according to a
Poisson distribution with a mean of 0.02 flaw per panel
a) If one panel is inspected, what is the probability that there are no flaws?
b) If 50 panels are inspected, what is the probability that there are no flaws?
c) What is the expected number of panels that need to be inspected before a flaw is
found?
3) (5 Marks) The line width for semiconductor manufacturing is assumed to be
normally distributed with a mean of 0.5mm and a standard deviation of 0.05mm.
a) What is the probability that a line width is greater than 0.62mm?
b) What is the probability that a line width is between 0.47 and 0.63 mm?
c) The line width of 90% of samples is below what value?
4) (5 Marks) The life time in years of a certain type of electrical switch has an
exponential distribution with an average life of 2 .
a) What is the probability that a switch fails in the first year?
b) If 100 of these switches are installed in different systems, let random
variable X be the number of switches that fail during the first year. What is the
probability distribution function f (x) of X ?
c) What is approximately the probability that at most 30 out of the 100 switches fail
during the first year?
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 smartzone. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $11.49. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
83100 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy study notes for 14 years now