At a back-to-school party, one of your friends lets you play a two-stage game where you pay $3 to play. The game works as follows: fip a fair coin, noting the side showing, and roll a fair standard4-sided die (numbered 1-4), noting the number showing. If the die shows a 3 and the coin shows tails, then you win $20. If the coin shows heads and the die shows an even number then you win $9.Otherwise, you do not win anything.Let X be your net winnings.(a) Create a probability distribution for X. Enter the possible values of X in ascending order from left to right. All probabilities should be exact.XP(X)(b) Compute your expected net winnings for the game. Round your answer to the nearest cent() is this game fair?YesONO

Given Information: You pay $3 to play the game. A fair coin is flipped, noting the side shown and a…

Answered: At a back-to-school party, one of your…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

At the Step Right Up carnival, a game is played where three coins are tossed: a quarter, a dime, and a nickel. The game costs $2 to play. If the three coins all come up heads, you win $5. If at least 30 cents come up heads, you win $2. Otherwise, you lose. Is this a fair game?
Five students who absolutely adore their math teacher go shopping to get gifts for the teacher. Nicole buys him a $22 cake. Katie spends $28 on a shirt. Stephanie spends $36 at the bookstore. Joy gets him $50 worth of lottery tickets. And Christine buys a $59 chess set. Just before they are about to surprise the teacher with these gifts, they agree to say that all the gifts are from all of them and split the costs evenly among them. Who should give how much money to whom to make everybody’s contribution equal?
Maria plays the following game: There is a jar containing 2 gold coins, 2 silver coins, and 6 bronze coins. She must select two coins. She gets $2 for each gold coin she selects. She gets $1 for each silver coin she selects. She gets nothing for selecting bronze coins. For example, if she picks one gold and one silver coin, she will get $3 total. If she picks one silver and one bronze coin, she gets $1 total. Let X be her winnings for this game. Fill in the pmf table (leave your answers here as fractions). x 0 1 2 3 4 p(x) Compute the expected value. Write your answer as a decimal (as you would a dollar amount): $ .
You are playing the new Lemon Game at Vegas. There are 3 windows in the slot machine. Window 1 displays only one of two choices: lemon or strawberry. Window 2 can display three choices: lemon, strawberry, or blueberry. Window 3 can display three choices: lemon, papaya, or cherry. Windows spin randomly and independent from each other. To win $1 you must have one lemon showing. To win $2, you must have two lemons, and to win the $5 jackpot, you must have all windows showing lemons. Using a tree diagram, determine the sample space. Determine the probability distribution. Let the random variable X represent the number of lemons displayed during one spin. Calculate the mean and standard deviation of the distribution. In four sentences or less, would you want to play this game if it cost $.50 per spin? Justify your answer using the expected value approach.
Bob and Tom are graduating and are no longer going to be roommates, but they both want to keep the dog they adopted. Using the Method of Sealed Bids, Bob bids $285 and Tom bids $433 for the dog. Since Tom's bid is higher, he gets the dog. How much will he have to pay Bob in order to keep the division fair?
Hello, can you please help me solve this problem? Write clearly and neatly on a paper. Upload it here. Thank you. We play a game: You roll a fair die. If it comes up a 4, 5, or 6 on the first roll, you win $80. If not, then you get to roll again. If you get a 4, 5, or 6 on the 2nd roll, you win $40. If not, you get $0. What is the expected amount you will win?
You need to borrow money for gas, so you ask your mother and your sister. You can only borrow money from one of them. Before giving you money, they each say they will make you play a game. Your sister says she wants you to spin a spinner with two outcomes, blue and red, on it. She will give you $⁢10 if the spinner lands on blue and $⁢20 if the spinner lands on red. Your mother wants you to spin a spinner with six outcomes, numbered 1 through 6, on it. She will give you $3 ⁢three times the number that the spinner lands on. Determine the expected value of each game and decide which offer you should take. The expected value for your sister's game: $$ Anticipated value for your mother's game: $$ Which offer should you take? Your sister's offer or your mother's offer?
Devon, Tony, and Nate were playing a board game. Devon wins when the spinner lands on green. Nate wins when the spinner lands on blue. Tony wins when the spinner lands on red. Which spinner should be used to make the game fair? A. Red Green # Green Blue Green Green Blue Green Blue
Annie and Bert play the following game. They shuffle a deck of 52 cards. Annie flips the cards one by one until she finds a red ace. After that Bert takes the remaining deck and flips the cards one by one until he finds the other red ace. Annie wins if she flipped fewer cards than bert, bert wins if he flipped fewer cards than Annie. It's a tie if they draw the same number of cards. X1 = number of cards Annie flipped, X2= number of cards Bert flipped. X3= 53- X1 - X2. How can you show that (X1, X2, X3) is exchangeable? Who has a higher probability of winning this game?
Carl was competing on a game show, and he ran into a losing streak. First, he bet half of his money on one question and lost it. Then he lost one fourth of his remaining money on another question. Then he lost $300 on another question. Then he lost two-thirds of his remaining money on another question. Finally, he got a question right and won $200. At this point, the show ended, and he had $800 left. How much did he have before his losing streak began?
This is a game for two people. Taking alternate turns, choose a whole number from 1 to 8. Keep a running total. (For example, if you pick 2 and your opponent picks 6, the total is now 8. Then maybe you pick 5, so now that total is 13, and so on.) The object of the game is to make the score exactly 64 on your turn. (If it is your turn and the running total at that point is 62, you would say 2, making the score 64, and you would be the winner.) You are going to choose the first number. What number should you pick to guarantee a win for yourself, and what strategy should you follow?
Q2: According to a well-known legend, the game of chess was invented many centuries ago in northwestern India by a certain sage. When he took his invention to his king, the king liked the game so much that he offered the inventor any reward he wanted. The inventor asked for some grain to be obtained as follows: just a single grain of wheat was to be placed on the first square of the chessboard, two on the second, four on the third, eight on the fourth, and so on, until all 64 squares had been filled. If it took just 1 second to count each grain, how long would it take to count all the grain due to him?

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS