Consider the situation described in Exercise 83. a. What is P(x1 , , x2 . , x3 . ,…, xn . ), that…

Consider the situation described in Exercise 83.

a. What is P(x1 , , x2 . , x3 . ,…, xn . ),

that is, the probability that only the first observation is smaller than the median and all

others exceed the median?

b. What is the probability that only x2 is smaller

than the median and all other n21 observations

exceed the median?

c. What is the probability that exactly one of the

xi

’s is less than ?

d. What is P( , y2), where y2 denotes the second

smallest xi

? Hint:  , y2 occurs if either all n of

the observations exceed the median or all but

one of the xi

’s does.

e. With yn21 denoting the second largest xi

, what is

P( . yn21)?

f. Using the results of parts (d) and (e), what is

P(y2 ,  , yn21)? What does this imply about

the confidence level associated with the interval (y2, yn21)? Determine the interval and associated confidence level for the data given in

Exercise 83.

 

Suppose we have obtained a random sample

x1,…, xn from a continuous distribution and wish

to use it as a basis for predicting a single new observation xn11 without assuming anything about the

shape of the distribution. Let y1 and yn denote the

smallest and largest, respectively, of the n sample

observations.

a. What is P(xn11 , x1)?

b. What is P(xn11 , x1 and xn11 , x2), that is, the

probability that xn11 is the smallest of these

three observations?

c. What is P(xn11 , y1)? What is P(xn11 . yn)?

d. What is P(y1 , xn11 , yn), and what does this

say about the prediction level associated with

the interval (y1, yn)? Determine the interval and

associated prediction level for the curing time

data given in Exercise 83

 

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:
$26
The price is based on these factors:
Academic level
Number of pages
Urgency
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
error: Content is protected !!