They have a new game there where you pay $1

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1) You are at a casino. They have a new game there where you pay $1 and throw a dart at the board. If you hit one of four targets on the board you win $5. The four targets only make up about 15 percent of the board, total. Would you play this game if you wanted to make money? 
HINT: What do we expect the value of the results of the game to be?

2) If you play rock, paper, scissors with your roommate, what is the sample space for two consecutive rounds of your moves? (Hint: One round is “One, two, three, GO!”) 

3) Please give me an example of a type of qualitative data and a type of quantitative data. Also, please further classify your example by telling me if that data is nominal, ordinal, interval or ratio. 

4) Please find the standard deviation and variance for the following probability distribution: 

Value: 4 7 14 15

Probability: .20 .35 .05 .40
5) You want to impress a friend with a magic trick. You are going to try to guess the value of a card that she picks from a deck. Unfortunately for you, you forgot your trick deck at home! You only have a standard deck of playing cards that you removed the jokers from long ago. What is the probability that your friend draws an Ace or a King?

6) You win a chance to hang out with a professional football player! The player is going to take you to lunch to meet your friends. You would like to hang out with a quarterback, but you would also like to show up to lunch in a Porsche. You have to draw a name of the player that you get to have lunch with, out of a hat. You are told that twenty-five percent of the player names in the hat are quarterbacks and that forty percent of the players in the hat have Porsches in their garage at home. 

What is the likelihood that you will get to go to lunch with a quarterback who drives a Porsche? 


10) You are looking at two used cars at a car dealership. They are both the same year, make, model, color and price. You decide to ask the salesman which is more reliable. He tells you that car number one does not run roughly ten days per year with a standard deviation in the number of days it will break down of 1.2 days. Car number two does not run about eleven days per year with a standard deviation of four days. Which car is more consistent about when it will and will not run? Why? 

  • 9 years ago
They have a new game there where you pay $1
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