Question

Lottery: I buy one of 400 raffle tickets for $20. The sponsors then randomly select 1...

Lottery: I buy one of 400 raffle tickets for $20. The sponsors then randomly select 1 grand prize worth $500, then 2 second prizes worth $300 each, and then 3 third prizes worth $100 each. The selections are made without replacement.

(a) Complete the probability distribution for this raffle. Give your probabilities as a decimal (rounded to 4 decimal places) or as a fraction.

Outcomes          P(x)         
Win Grand Prize    
Win a Second Prize    
Win a Third Prize    
Win Nothing    


(b) Recognizing that I spent $20 to buy a ticket, determine the expected value of this raffle to me as a player. Round your answer to the nearest penny.
dollars

(c) What is an accurate interpretation of this value?

It is meaningless because you can't actually win or lose this amount.It represents the per-game average you would win/lose if you were to play this game many many times.     It represents how much you would win every time you play the game.It represents how much you would lose every time you play the 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
I buy one of 400 raffle tickets for $20. The sponsors then randomly select 1 grand...
I buy one of 400 raffle tickets for $20. The sponsors then randomly select 1 grand prize worth $600, then 2 second prizes worth $200 each, and then 3 third prizes worth $50each. The selections are made without replacement. (a) Complete the probability distribution for this raffle. Give your probabilities as a decimal (rounded to 4 decimal places) or as a fraction. Outcomes          P(x)          Win Grand Prize     Win a Second Prize     Win a Third Prize     Win Nothing     (b) Recognizing that...
Lottery: I buy one of 200 raffle tickets for $10. The sponsors then randomly select 1...
Lottery: I buy one of 200 raffle tickets for $10. The sponsors then randomly select 1 grand prize worth $300, 2 second prizes worth $80 each, and 3 third prizes worth $40 each. Below is the discrete probability distribution for this raffle. Prize      P(x)      Grand 1/200 Second 2/200 Third 3/200 None 194/200 (a) Recognizing that I spent $10 to buy a ticket, determine the expected value of this raffle to me as a player. Round your answer to the nearest...
   John bought one of 200 raffle tickets for $10. The sponsors then randomly select one...
   John bought one of 200 raffle tickets for $10. The sponsors then randomly select one grand prize worth $200, two second prizes worth $100 each, and three third prizes at $50 each.                                                                       (a) Verify that this is a probability distribution.                                                        (b) Recognizing that John spent $10 to buy a ticket, determine the expected value of this raffle to him.
It is on the Discrete probability distribution. John bought one of 200 raffle tickets for $10....
It is on the Discrete probability distribution. John bought one of 200 raffle tickets for $10. The sponsors then randomly select one grand prize worth $200, two second prizes worth $100 each, and three third prizes at $50 each. (a) Verify that this is a probability distribution. (b) Recognizing that John spent $10 to buy a ticket, determine the expected value of this raffle to him.
You are participating in a raffle in which there will be 2000 tickets sold. Each ticket...
You are participating in a raffle in which there will be 2000 tickets sold. Each ticket costs 5 dollars. There is 1 first prize, a $100 gift certificate. 2 second prize $50 gift certificates. And 5 third prizes of $25. Use this information to answer the following questions. Show your work. a. What is the expected value of a single raffle ticket? b. According to the mathematics, should you participate in the raffle? c. If you purchased 20 tickets, how...
One thousand tickets are sold at $1 each for a charity raffle. Tickets are to be...
One thousand tickets are sold at $1 each for a charity raffle. Tickets are to be drawn at random and cash prizes are to be awarded as follows: 1 prize of $100, 3 prizes of $50, and 5 prizes of $20. What is the expected value of this raffle if you buy 1 ticket? Now suppose some benefactor agrees to give every player $1000, regardless of the outcome of the raffle. What is the expected value of the game? What...
Make a probability distribution function table for the game where x is the event, Payoff(x) is...
Make a probability distribution function table for the game where x is the event, Payoff(x) is the amount won/lost if event x occurs, and P(x) is the probability that event x occurs. The expected payoff (i.e., the amount you would win/lose on average per play after playing the game many times) is E. Find E for the game you chose. There are 16 cards placed face down on a table. On the face side, there are various prizes/losses written. One...
1. Consider the following game. For 3 dollars I will allow you to roll a die...
1. Consider the following game. For 3 dollars I will allow you to roll a die one time. In return, I will pay you the value of the outcome if your roll. (e.g. you roll a 5 and I pay you 5 dollars.) Let X be the net profit (the value left over after subtracting the buy in). (a) Create a probability distribution table listing the possible values of X and their corresponding probabilities P(X). (b) Calculate E(X), the expected...
Please answer the following Case analysis questions 1-How is New Balance performing compared to its primary...
Please answer the following Case analysis questions 1-How is New Balance performing compared to its primary rivals? How will the acquisition of Reebok by Adidas impact the structure of the athletic shoe industry? Is this likely to be favorable or unfavorable for New Balance? 2- What issues does New Balance management need to address? 3-What recommendations would you make to New Balance Management? What does New Balance need to do to continue to be successful? Should management continue to invest...
Fueling Indonesians: Window of Opportunity or Regret? Kerosene is widely used as cooking fuel by Indonesian...
Fueling Indonesians: Window of Opportunity or Regret? Kerosene is widely used as cooking fuel by Indonesian households, with an annual usage of 10 million Kiloliters. It is a major subsidized fuel for household cooking, where its usage is over sixty percent of the 230 million population. The subsidy program costs the government heavily, where it amounts up to U.S.$4 billion a year. As the practice tends to bleed government expenditures quite heavily, the Indonesian government is embarking on a change...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT