Question

Use the following information to answer questions 1 to 3. Consider the experiment of rolling two dice. Suppose that we are interest in the sum of the face values showing on the dice. 1.What is the probability of obtaining a value of 6? a. 2/36 = 1/18 b. 3/36=1/12 c. 4/36=1/9 d. 5/36 e. 6/36=1/6 2.What is the probability of obtaining a value greater than 9? a. 4/36 = 1/9 b. 5/36 c. 6/36 = 1/6 d. 10/36 = 5/18 3.What method did you use to assign the probability requested? a. classical method. b. relative probability method. c. subjective method. Use the following information to answer questions 4 to 7. Suppose that we have a sample space with five equally likely experimental outcomes E1, E2, E3, E4, E5. Let A={E1,E2} B={E3,E4} C={E2,E3,E5} 4.Calculate P(C). Please answer in decimals (such as 0.1). - 5.Calculate P(AUB) - 6.C^c is the complementary set of event C. Calculate P(Cc) - 7.Calculate P(AUBc). - The prior probabilities for events A1, A2, and A3 are P(A1)=0.2, P(A2)=0.5 and P(A3) = 0.3. The conditional probabilities of event B given A1, A2 are A3 areP(B|A1) = 0.5, P(B|A2) = 0.4 and P(B|A3) = 0.3. 8.Compute P(B∩A2). - 9.Following from the previous question. Apply Bayes' theorem to compute the posterior probability P(A2|B). - Use the following information to answer questions 10 to 12. Suppose that a student is considering buying two items from oversea sellers. Due to exchange rate fluctuations, there are uncertainties in the price of these two items, item x and item y. The student was given the following information. E(x) = 50 and E(y) = 100. Var(x) = 100, Var(y) = 400 and Cov(x,y) = -60. 10.Compute for the correlation coefficient between x and y. - 11.Compute E(2x+3y) - 12.Compute Var(2x+3y). - Use the following information to answer questions 13 to 15. x is a random variable that represents the result of rolling a fair die. The probability function can be specified as: f(x)=16,where x=1,2,...6 13.Compute P(x≥4). (Note: please express your answer in decimals) - 14.Compute E(x). (Note: express your answer in decimals) - 15.Compute Var(x). (Express your answer in decimals) -

Name: use the following information to answer questions 1 to 3 consider the experiment of rolling two dice suppose that we are interest in the sum of the face values showing on the dice 1what is the probabi
Uploaded: 2022-11-05T19:15:27-08:00
Duration: 4 min 23 s
Channel: Jerelyn Nevil
Description: use the following information to answer questions 1 to 3 consider the experiment of rolling two dice suppose that we are interest in the sum of the face values showing on the dice 1what is the probabi

          Use the following information to answer questions 1 to 3. Consider the experiment of rolling two dice. Suppose that we are interest in the sum of the face values showing on the dice.

1.What is the probability of obtaining a value of 6?

a. 2/36 = 1/18
b. 3/36=1/12
c. 4/36=1/9
d. 5/36
e. 6/36=1/6

2.What is the probability of obtaining a value greater than 9?

a. 4/36 = 1/9
b. 5/36
c. 6/36 = 1/6
d. 10/36 = 5/18

3.What method did you use to assign the probability requested?


a. classical method.
b. relative probability method.
c. subjective method.

Use the following information to answer questions 4 to 7. Suppose that we have a sample space with five equally likely experimental outcomes E1, E2, E3, E4, E5. Let

 
A={E1,E2}

 
B={E3,E4}

 
C={E2,E3,E5}


4.Calculate P(C).  Please answer in decimals (such as 0.1).
-

5.Calculate P(AUB)
-

6.C^c is the complementary set of event C. Calculate P(Cc)
-

7.Calculate P(AUBc).
-

The prior probabilities for events A1, A2, and A3 are P(A1)=0.2, P(A2)=0.5 and P(A3) = 0.3. The conditional probabilities of event B given A1, A2 are A3 areP(B|A1) = 0.5, P(B|A2) = 0.4 and P(B|A3) = 0.3.

8.Compute P(B∩A2).

-

9.Following from the previous question. Apply Bayes' theorem to compute the posterior probability P(A2|B). 
-

Use the following information to answer questions 10 to 12. Suppose that a student is considering buying two items from oversea sellers.  Due to exchange rate  fluctuations, there are uncertainties in the price of these two items, item x and item y. The student was given the following information. E(x) = 50 and E(y) = 100. Var(x) = 100, Var(y) = 400 and Cov(x,y) = -60.

10.Compute for the correlation coefficient between x and y.
-

11.Compute E(2x+3y)
-

12.Compute Var(2x+3y).
-

Use the following information to answer questions 13 to 15.

x is a random variable that represents the result of rolling a fair die. The probability function can be specified as:

f(x)=16,where x=1,2,...6

13.Compute P(x≥4).  (Note: please express your answer in decimals)
-

14.Compute E(x). (Note: express your answer in decimals)
-

15.Compute Var(x). (Express your answer in decimals)
-

Added by Ivan H.

Introductory Statistics

Neil A. Weiss 9th Edition

Chapter 4

Instant Answer

Solved by Expert Jerelyn Nevil

11/05/2022

Step 1

The possible outcomes that sum to 6 are (1,5), (2,4), (3,3), (4,2), (5,1). So there are 5 favorable outcomes out of a total of 36 possible outcomes. So, the probability is 5/36. The correct answer is d. 5/36. Show more…

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Thanks for your feedback!

Use the following information to answer questions 1 to 3. Consider the experiment of rolling two dice. Suppose that we are interest in the sum of the face values showing on the dice. 1.What is the probability of obtaining a value of 6? a. 2/36 = 1/18 b. 3/36=1/12 c. 4/36=1/9 d. 5/36 e. 6/36=1/6 2.What is the probability of obtaining a value greater than 9? a. 4/36 = 1/9 b. 5/36 c. 6/36 = 1/6 d. 10/36 = 5/18 3.What method did you use to assign the probability requested? a. classical method. b. relative probability method. c. subjective method. Use the following information to answer questions 4 to 7. Suppose that we have a sample space with five equally likely experimental outcomes E1, E2, E3, E4, E5. Let A={E1,E2} B={E3,E4} C={E2,E3,E5} 4.Calculate P(C). Please answer in decimals (such as 0.1). - 5.Calculate P(AUB) - 6.C^c is the complementary set of event C. Calculate P(Cc) - 7.Calculate P(AUBc). - The prior probabilities for events A1, A2, and A3 are P(A1)=0.2, P(A2)=0.5 and P(A3) = 0.3. The conditional probabilities of event B given A1, A2 are A3 areP(B|A1) = 0.5, P(B|A2) = 0.4 and P(B|A3) = 0.3. 8.Compute P(B∩A2). - 9.Following from the previous question. Apply Bayes' theorem to compute the posterior probability P(A2|B). - Use the following information to answer questions 10 to 12. Suppose that a student is considering buying two items from oversea sellers. Due to exchange rate fluctuations, there are uncertainties in the price of these two items, item x and item y. The student was given the following information. E(x) = 50 and E(y) = 100. Var(x) = 100, Var(y) = 400 and Cov(x,y) = -60. 10.Compute for the correlation coefficient between x and y. - 11.Compute E(2x+3y) - 12.Compute Var(2x+3y). - Use the following information to answer questions 13 to 15. x is a random variable that represents the result of rolling a fair die. The probability function can be specified as: f(x)=16,where x=1,2,...6 13.Compute P(x≥4). (Note: please express your answer in decimals) - 14.Compute E(x). (Note: express your answer in decimals) - 15.Compute Var(x). (Express your answer in decimals) -

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00:01 Okay, so you had submitted a whole slew of questions.

00:04 So i am going to answer questions one through three for a time's sake.

00:08 If you still need help with any further questions, please submit those separately.

00:14 So it says use the following information to answer questions one through three.

00:18 Consider the experiment of rolling two dice.

00:21 Suppose that we are interested in the sum of the face values showing on the dice.

00:28 What is the probability of obtaining a value of six? so to get a value of six, now remember, you have two dice.

00:36 You have on the first dice, one, two, three, four, five, six.

00:41 Second dice, you could get a one, a two, a three, a four, a five, and a six.

00:46 So to get a value of six, on the first one, you could roll a one, and on the second one, you could rule a five, and then opposite, five, and then a one.

00:56 On the first one you could do a two and a then a three or a three and a two um you could do a two and a four or a four and a two you could roll a um oh not a two and a three oops i'm thinking of multiplication hello you probably like that doesn't equal six that equals five um you could roll a three and a three and that's pretty much it so that is one two three four five okay and that's five out of and then out of the total because there's a total of 36 because six times six is 36 um 36 options okay so the answer would be d um for the next one what is the probability of obtaining a value greater than nine so taking a look at the value greater than nine so you could roll a 10 or a or you could roll a 10 a 12 okay so a 10 and a 12 so that's a 5 and a 5 a 6 a 6 um a 5 and a 6 a 5 a 6 and a 5 trying to see greater than 9 a 6 a 6 and a four, a four and a six.

02:37 I already did six and five...

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