show your working : Essay Fountain

Home>Biology homework help

Probability Problems

For problems 1-10 consider the experiment where two dice are thrown simultaneously. If both die do not have a clear upward facing side, the dice are thrown again. Each dice has six faces, numbered 1-6. Assume that the dice are fair and that each side is equally likely to occur and the dice do not influence each other.

1. What is the probability that the sum of the upward facing sides of both dice is equal to two?

2. What is the probability the sum of the upward facing sides of both dice is equal to three?

3. What is the probability the sum of the upward facing sides of both dice is equal to seven?

4. What is the probability the upward facing sides of the two die are the same?

5. What is the probability the upward facing sides of the two die are different?

6. What is the probability that at least one of the upward facing sides of the dice is a four, five or six?

7. What is the probability that exactly one of the upward facing sides of the dice is a four, five or six?

8. What is the probability that none of the upward facing sides of the dice is a four, five or six?

9. After throwing the two die, you observe that one of them is a six. What is the probability that the second dice is also a six?

10. After throwing the two die, you observe that one of them is a six. What is the probability that the second dice is not a six?

Given the following probabilities, answer questions 11-25. Remember that Ā is called the complement of A, and P(Ā) = 1- P(A).

 

A

Ā

Totals

B

0.18

0.45

0.63

 

0.24

0.13

0.37

Totals

0.42

0.58

1.00

11. What is the P(A)?

12. What is the P(B)?

13. What is the P(Ā)?

14. What is the P(A and B)?

15. What is the P(A and )?

16. What is the P(A and Ā)?

17. What is the P(A|B)?

18. What is the P(Ā|B)?

19. What is the P(B|A)?

20. What is P(A| Ā)?

21. What is the P(A or B)?

22. What is the P(A or Ā)?

23. What is the P(A and Ā)?

24. Are A and Ā independent of each other?

25. Are A and B independent of each other?

For problems 26-30, suppose P(A) = 0.54 and P(B|A) = 0.27 and P(B| Ā) = 0.68

26. What is P(Ā)?

27. What is P(A| B)?

28. What is P(A|)?

29. What is P(B)? =

30. Is A independent of B?

For problems 31-35, suppose P(A) = 0.42 and P(B|A) = 0.34 and P(B| Ā) = 0.34 .

31. What is P(Ā)?

32. What is P(A| B)?

33. What is P(A|)?

34. What is P(B)?

35. Is A independent of B?

Note: For the following two Bonus Questions, please manually add any extra credit points to the student’s grade.

36. (Bonus Question) Suppose X is the amount of money a person earns in an hour where

P(X = $5) .2, P(X =$10) = 0.1, P(X=$15) .5 and P(X=$20) = 0.2.

How much money would the person earn on average?

37. (Bonus Question) If the payoff of rolling two dice is the sum of the upper face of the two dice, what is the expected payoff of one roll of the two dice?

    • 4 years ago

    Report Issue
    Order a unique copy of this paper
    (550 words)

    Approximate price: $22

    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

    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
    Order your essay today and save 25% with the discount code: THANKYOUPlace Order
    +