Normal Distribution and Engineering Statistics Semester

SSCE 2193 Engineering Statistics Semester 2, Session 2012/2013 ASSIGNMENT (10%) Instructions: a. This is a GROUP assignment. b. Each student must be a member of a group of 4 or 5 students, selected by lecturer. c. Solutions from each group must be submitted by 19 April 2013. SPECIAL DISTRIBUTIONS I. Concept of probability (3%) 1. Explain why the distribution B(n,p) can be approximated by Poisson distribution with parameter if n tends to infinity, p 0, and = np can be considered constant. 2. Show that – and + are the turning points in the graph of the p. d. f. f normal distribution with mean and standard deviation . 3. What is the relationship between exponential distribution and Poisson distribution? II. Computation of probability (7%) 1. Let the random variable X follow a Binomial distribution with parameters n and p. We write X ~ B(n,p). * Write down all basic assumptions of Binomial distribution. * Knowing the p. m. f. of X, show that the mean and variance of X are = np, and 2 = np(1 – p), respectively. 2. A batch contains 40 bacteria cells and 12 of them are not capable of cellular replication. Suppose you examine 3 bacteria cells selected at andom without replacement. What is the probability that at least one of the selected cells cannot replicate? 3. Redo problem No. 2 if the 3 bacteria cells are selected at random with replacement. 4. The number of customers who enter a bank in an hour follows a Poisson distribution. If P(X = 0) = 0. 05, determine the mean and variance of the number of customers in an hour. 5. In a large corporate computer network, user log-ons to the system can be modeled as a Poisson process with a mean of 25 log-ons per hour. What is the probability that there are no log-ons in an interval of 6 minutes? 6.

The time until recharge for a battery in a laptop computer under common conditions is normally distributed with a mean of 260 minutes and a standard deviation of 50 minutes. * What is the probability that a battery lasts more than 6 hours? * What are the first and third quartiles of battery life? 7. Suppose that electric power supplied by TNB at any time follows normal distribution with mean 220 V and standard deviation 1 V. Let your TV set have the specification of electric power between 218 V and 223 V. What is the probability that at a certain time, your TV set is not functioning properly?

Don't use plagiarized sources. Get Your Custom Essay on
Normal Distribution and Engineering Statistics Semester
Just from $13/Page
Order Essay
Place your order
(550 words)

Approximate price: $22

Calculate the price of your order

550 words
We'll send you the first draft for approval by September 11, 2018 at 10:52 AM
Total price:
The price is based on these factors:
Academic level
Number of pages
Basic features
  • Free title page and bibliography
  • Unlimited revisions
  • Plagiarism-free guarantee
  • Money-back guarantee
  • 24/7 support
On-demand options
  • Writer’s samples
  • Part-by-part delivery
  • Overnight delivery
  • Copies of used sources
  • Expert Proofreading
Paper format
  • 275 words per page
  • 12 pt Arial/Times New Roman
  • Double line spacing
  • Any citation style (APA, MLA, Chicago/Turabian, Harvard)

Our guarantees

Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

Money-back guarantee

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

Read more

Zero-plagiarism guarantee

Each paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

Read more

Free-revision policy

Thanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.

Read more

Privacy policy

Your email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.

Read more

Fair-cooperation guarantee

By sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.

Read more
Live Chat+1(405) 367-3611Email

Order your essay today and save 15% with the discount code SUCCESS