Exam 8: Probability: the Mathematics of Chance

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A pizza can be made with any of the following toppings: cheese, pepperoni, sausage, mushrooms, anchovies, green peppers, or olives. Doubling of any topping is not allowed. What is the probability that a randomly created three-topping pizza will contain mushrooms?

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A sample space contains three outcomes, A, B, and C. Which of the following could be a legitimate assignment of probabilities to the outcomes?

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The mean value of one trial of a carnival game is −$.05. Explain what this means.

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What is the probability of drawing three cards that are all spades from a regular (bridge) deck of cards?

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Two coins are flipped and heads or tails is recorded. The outcomes in the sample space are all equally likely.

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The length of students' college careers at Anytown University is known to be Normally distributed, with a mean length of 5.5 years and a standard deviation of 1.75 years. If a sample of size 20 is repeatedly chosen at random, what is the standard deviation x of sample means?

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You roll two dice and record the sum shown. What is the probability of the event "the sum is greater than 2"?

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Use the following information to answer the Questions: A company gives a new screening test to test its employees for tuberculosis (TB). The results are summarized in the following table. Test result Has TB Does not have TB Positive 21 14 Negative 4 140 -If a randomly selected employee has a positive test result, what is the probability that the employee has TB?

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