Probability distribution | Statistics homework help

Construct an experimental, discrete probability table by rolling three six-sided dice and calculating the total. Perform 200 trials and record the results. The rolling of three six-sided dice can be simulated using a graphing calculator by “rolling” each of the dice in a separate list using:

                        Math –> Prob –> randInt(1, 6, 200)

Unit 8 writing Stats.png  Unit 8 Writing Stats 2.png  Unit 8 Writing Stats 3.png 

Once all three lists are generated, add them to create the totals of the 200 trials.

  • Create a discrete random variable relative frequency histogram for this data. Clearly label the axes and scale.
  • Calculate the mean and standard deviation for the roll totals:

????=μ=   ????=σ= 

      Use these to define a normal probability distribution for the total on the roll of 3 dice.

  • Compare the probabilities of the experimental discrete probability distribution and the normal curve distribution for several cases listed on the table. Complete the table.

ProbabilityRelative Frequency HistogramNormal Curve????(9.5≤????≤10.5)P(9.5≤x≤10.5) ????(????≤3)P(x≤3) ????(????≥15)P(x≥15) ????(8≤????≤10)P(8≤x≤10) 

  • Write a brief paragraph comparing the results of the table above. Discuss any similarities or differences in these results.
  • There are 216 possible outcomes for the roll of three dice. The theoretical probabilities for the outcomes of the roll of three six-sided dice are:

RollProbability31/21643/21655/216610/216715/216821/216925/2161027/2161127/2161225/2161321/2161415/2161510/216165/216173/216181/216

Calculate the theoretical probabilities of the indicated rolls and include them on the table below.

ProbabilityRelative Frequency HistogramNormal CurveTheoretical Probability????(9.5≤????≤10.5)P(9.5≤x≤10.5) ????(????≤3)P(x≤3) ????(????≥15)P(x≥15) ????(8≤????≤10)P(8≤x≤10) 

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