Question

Suppose you are offered the following "deal." You roll a die. If you roll a six,...

Suppose you are offered the following "deal." You roll a die. If you roll a six, you win $10. If you roll a four or five, you win $5. If you roll a one, two, or three, you pay $6. Based on numerical values, should you take the deal? Explain your decision. Consider the following questions as you make your decision:

-What are you ultimately interested in here (the value of the roll or the money you win)?

-In words, define the random variable X.

- List the values that X may take on.

-Over the long run of playing this game, what are your expected average winnings per game?

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Suppose that you are offered the following "deal." You roll a six sided die. If you...
Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you win $12. If you roll a 2, 3, 4 or 5, you win $1. Otherwise, you pay $10. a. Complete the PDF Table. List the X values, where X is the profit, from smallest to largest. Round to 4 decimal places where appropriate. Probability Distribution Table X P(X) b. Find the expected profit. $ (Round to the nearest cent) c....
Suppose that you are offered the following "deal." You roll a six sided die. If you...
Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you win $9. If you roll a 2, 3, 4 or 5, you win $1. Otherwise, you pay $6 a. Complete the PDF Table. List the X values, where X is the profit, from smallest to largest. Round to 4 decimal places where appropriate. Probability Distribution Table    X P(X)    b. Find the expected profit. $ (Round to the nearest...
Suppose that you are offered the following "deal." You roll a six sided die. If you...
Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you win $13. If you roll a 4 or 5, you win $5. Otherwise, you pay $6. a. Complete the PDF Table. List the X values, where X is the profit, from smallest to largest. Round to 4 decimal places where appropriate. Probability Distribution Table X P(X) b. Find the expected profit. $ ____ (Round to the nearest cent) c. Interpret...
Suppose that you are offered the following "deal." You roll a six sided die. If you...
Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you win $20. If you roll a 4 or 5, you win $1. Otherwise, you pay $8. a. Complete the PDF Table. List the X values, where X is the profit, from smallest to largest. Round to 4 decimal places where appropriate. Probability Distribution Table X P(X) b. Find the expected profit. $ (Round to the nearest cent) c. Interpret the...
Suppose that you are offered the following "deal." You roll a six sided die. If you...
Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you win $7. If you roll a 4 or 5, you win $1. Otherwise, you pay $8. a. Complete the PDF Table. List the X values, where X is the profit, from smallest to largest. Round to 4 decimal places where appropriate. Probability Distribution Table X P(X) b. Find the expected profit. $ (Round to the nearest cent) c. Interpret the...
Suppose that you are offered the following "deal." You roll a six sided die. If you...
Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you win $17. If you roll a 4 or 5, you win $2. Otherwise, you pay $10. a. Complete the PDF Table. List the X values, where X is the profit, from smallest to largest. Round to 4 decimal places where appropriate. Probability Distribution Table X P(X) b. Find the expected profit. $ (Round to the nearest cent) c. Interpret the...
(Need solution for part b) You are offered to play the following game. You roll a...
(Need solution for part b) You are offered to play the following game. You roll a fair 6-sided die once and observe the result which is shown by the random variable X. At this point, you can stop the game and win X dollars. Or, you can also choose to discard the X dollars you win in the first roll, and roll the die for a second time to observe the value Y . In this case, you will win...
Conditional Expectation You are offered the following game: -A 6-faced fair die is rolled. Call the...
Conditional Expectation You are offered the following game: -A 6-faced fair die is rolled. Call the result of this roll J -A coin is flipped, if it lands heads you win 2^J dollars, if it lands tails you win J. a) What is the probability you win more than $25 at this game? b) Compute the conditional expectation conditional on J and then use the Law of Iterated expectations to compute the expected value of playing the game. NOTE: this...
You roll a six-sided die repeatedly until you roll a one. Let X be the random...
You roll a six-sided die repeatedly until you roll a one. Let X be the random number of times you roll the dice. Find the following expectation: E[(1/2)^X]
You roll a fair 6-sided die once and observe the result which is shown by the...
You roll a fair 6-sided die once and observe the result which is shown by the random variable X. At this point, you can stop and win X dollars. Or, you can also choose to discard the X dollars you win in the first roll, and roll the die for a second time to observe the value Y. In this case, you will win Y dollars. Let W be the number of dollars that you win in this game. a)...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT