1.   What is expected value?
    A. The sum of the quotients of the probabilities and payoff.
    B. The difference of the products of the probabilities and payoff.
    C. The sum of the products of the probabilities and payoff.
    D. The product of the sums of the probabilities and payoff.
    Hint

  2.   Based on past sweepstakes a company expects 180,000 entries. Find the expected values of sweepstake A shown in the chart. Round to the nearest hundredth.
   
    A. 0.63 B. 0.56
    C. 0.75 D. 0.41
    Hint

  3.   A chess club is thinking of selling magazines as a fundraiser. The company states the probability of making $6,000 is 0.67 and the probability of losing $2500 is 0.27. The company claims that on average any club makes over $5000. Is this claim accurate? Why or why not?
    A. no; The expected value is under $5000. B. no; The expected value was over $5000.
    C. yes; The expected value is under $5000. D. yes; The expected value was over $5000
    Hint

  4.   A school is thinking of selling candy bars as a fundraiser. The company states the probability of making $20,000 is 0.7 and the probability of losing $6500 is 0.37. The company claims that on average any club makes over $10,000. Is this claim accurate? Why or why not?
    A. no; The expected value was over $10,000 B. no; The expected value is under $10,000
    C. yes; The expected value is under $10,000. D. yes; The expected value was over $10,000
    Hint

  5.   Two children are playing with a bag of four marbles. One is white, 2 are blue and 1is red. Each child takes a marble from the bag. The child with a blue marble receives 2 points. Otherwise the child loses one point. Is the game fair? Why or why not?
    A. no; The expected value is equal to zero. B. no; The expected value does not equal zero.
    C. yes; The expected value does not equal zero. D. yes; The expected value is equal to zero.
    Hint



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