Question

Problem 5: You play the following game and you start by investing $100. Two coins are...

Problem 5:

You play the following game and you start by investing $100. Two coins are flipped.

Head: you get starting balance +30%

Tail: you get starting balance -20%

Potential outcomes:

1-head+head: gain 60%

2-head + tail: gain 10%

3-tail +head: gain 10%.

4-Tail+tail: loose 40%.

*There is a 25% chance of making 60%, 50% chance of making 10% and 25% of losing 40%.

What are the variance and the standard deviation of this coin 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
Each game costs $5 and four COINS are flipped simultaneously. If you get one head you...
Each game costs $5 and four COINS are flipped simultaneously. If you get one head you get $2, if you get two heads you get $4, if you get three heads you get $10. Question: create the experimental probability distribution, expected value and bar graph. Compare the distribution, bar graph and expected value to the theoretical. Four Coin Filp :1-100 Three COINS out of a hundred trials are heads with a probability of 25 Two COINS out of a hundred...
(a) What is the change in entropy (in J/K) if you start with 100 coins in...
(a) What is the change in entropy (in J/K) if you start with 100 coins in the 60 heads and 40 tails macrostate, toss them, and get 45 heads and 55 tails? (b) What if you get 25 heads and 75 tails (in J/K)? (c) How much more likely is 45 heads and 55 tails than 25 heads and 75 tails (times more likely)?
You play 10 consecutive games of chance. In one single game, you win 100 dollars with...
You play 10 consecutive games of chance. In one single game, you win 100 dollars with probability 0.6, otherwise, you lose 150 dollars with probability 0.4. Assume that the outcomes of these 10 games are independent. a) Find the probability that you will win at least 500 dollars in these 10 games. b) Find your expected gain in these 10 games. (Hint: Write the gain as a function of the number of games in which you won.)
(a) What is the change in entropy (in J/K) if you start with 100 coins in...
(a) What is the change in entropy (in J/K) if you start with 100 coins in the 40 heads and 60 tails macrostate, toss them, and get 45 heads and 55 tails? ________J/K (b) What if you get 5 heads and 95 tails? ________J/K (c) How much more likely is 45 heads and 55 tails than 5 heads and 95 tails? ________times more likely (d) Does either outcome violate the second law of thermodynamics? Explain.
Suppose you play a game in which you charge someone $10 to roll two dice. If...
Suppose you play a game in which you charge someone $10 to roll two dice. If they get doubles (either two ones, two twos, two threes, etc.), then you pay them $50 (for a net profit of $ -40 to you). If they don’t get doubles, then you keep their $10. a. Write out a probability distribution for X, the net profit to you. b. What is the expected value of the game from your point of view?
Assignment 2 1. Assume that you have two biased coins and one fair coin. One of...
Assignment 2 1. Assume that you have two biased coins and one fair coin. One of the biased coins are two tailed and the second biased one comes tails 25 percent of the time. A coin is selected randomly and flipped. What is the probability that the flipped coin will come up tail? 2. One white ball, one black ball, and two yellow balls are placed in a bucket. Two balls are drawn simultaneously from the bucket. You are given...
QUESTION 1 A game is played that costs $1. To play, you roll one six-sided die....
QUESTION 1 A game is played that costs $1. To play, you roll one six-sided die. If you roll a six, you win $5. What is the expected value of this game? a. $0 b. $5 c. $0.50 d. $4.50 QUESTION 2 A class room contains 32 students, 11 of whom are female. If one student is randomly chosen from the room, what is the probability the student is female? Round to the nearest thousandth. 1 points    QUESTION 3...
Choose one of the following games from the Games Fair: Four Coin Flip Each flip of...
Choose one of the following games from the Games Fair: Four Coin Flip Each flip of the four coins costs 10 points You win: 10 points if you flip two heads 30 points if you flip no heads Five Card Shuffler Each hand of five cards costs 10 points You win: 20 points for no hearts 0 points for one heart 10 points for two hearts 20 points for three hearts 50 points for four hearts 1000 points for five...
CASE: Sharesies: NZ investment platform Everyday investment company Sharesies was launched in February 2017, after conducting...
CASE: Sharesies: NZ investment platform Everyday investment company Sharesies was launched in February 2017, after conducting research on New Zealanders’ attitudes towards investing. Prior to launching the company, the co-founders interviewed over 200 people asking them “If I gave you $50 right now, and you had to do something with it in the next 5 minutes what would you do?” Only 5 out of 200 people chose an option to save or invest the $50. More popular options were bills,...
Everyday investment company Sharesies was launched in February 2017, after conducting research on New Zealanders’ attitudes...
Everyday investment company Sharesies was launched in February 2017, after conducting research on New Zealanders’ attitudes towards investing. Prior to launching the company, the co-founders interviewed over 200 people asking them “If I gave you $50 right now, and you had to do something with it in the next 5 minutes what would you do?” Only 5 out of 200 people chose an option to save or invest the $50. More popular options were bills, online shopping, coffees, vouchers, food,...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT