The Central Limit Theorem

Save Time On Research and Writing
Hire a Pro to Write You a 100% Plagiarism-Free Paper.
Get My Paper

            

 

           

 

Save Time On Research and Writing
Hire a Pro to Write You a 100% Plagiarism-Free Paper.
Get My Paper

Instructions:

                     1)   Show your work.  For calculator problems, record the command(s) you used.

                     2)   Do your calculations using formulas unless otherwise indicated. 

   

            1.  Fill in the blanks:

                 The Central Limit Theorem applies when the original population is _________________ distributed,

 

                  or n ______________, or both.

 

 

 

            2.  Sketch the graph of a uniform distribution with values ranging from 5.0 to 20.0, and label the height.

 

 

 

 

 

 

 

 

 

 

 

 

            3.  A population consists of a $4 pen, a $16 pen and a $10 pen.  Create a list of all samples of size 2

                taken with replacement, and use it to find the sampling distribution of the sample means. 

 

 

            4.  The length of time a particular surgery takes is normally distributed with a mean of  53.5 minutes and

                 a standard deviation of 7.9 minutes.)

            a.  If one surgery is randomly selected, find the probability that it takes more than 1 hour.  Use a chart.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

            b.  If 36 surgeries are randomly selected, find the probability that their mean length is more than 1 hour. 

                 Use your calculator.

 

 

 

 

 

 

 

 

 

 

 

 

 

c.  Find , the length of time it takes for 90% of surgeries to be completed.  You may use your

                calculator.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

            6.  A charity holds an annual raffle where the probability of winning is .003.

            a.  If you enter the raffle every year for the next 20 years, find the probability that you will win exactly

                once.  You may use your calculator.

 

 

 

 

 

 

 

            b.  If you enter the raffle every year for the next 20 years, find the probability that you will win at least

                 once.

 

 

 

 

 

 

 

 

            c.  Use the range rule of thumb to estimate the usual number of wins for people who enter the raffle each

                 year, for 20 years. 

 

 

 

 

 

 

 

 

 

 

 

            d.  In the raffle, you could lose $50 or win $10,000.  Find the expected value of your winnings, and

                describe the meaning of that value.

 

 

 

 

 

 

 

 

 

 

 

            7.  A basket contains 6 apples, 4 oranges and 10 bananas.

a.  If one piece of fruit is randomly selected from the basket, find the probability that it is an apple.

 

 

 

 

 

            b.  If two pieces of fruit are randomly selected from the basket without replacement, find the probability

                 that the second one is a banana given that the first one was an orange.

 

 

 

 

 

 

            c.  If three pieces of fruit are randomly selected from the basket without replacement, find the

                 probability that they are all apples.

 

 

 

 

 

 

            d.  If three pieces of fruit are randomly selected from the basket with replacement, find the probability

                 that they are all apples.

 

 

 

 

 

 

            8.  The type of businesses that opened in the last year in a community are described in the chart.  If one

                 business is randomly selected, find the probability that…

 

Restaurant

Retail Store

Failed

109

73

Didn’t fail

28

15

 

            a.  it is a restaurant or it failed.

 

 

 

 

 

            b.  it is a restaurant and it failed.

 

 

 

 

 

            c.  it is a restaurant given that it failed. 

 

 

 

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:
$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

Online Class Help Services Available from $100 to $150 Weekly We Handle Everything