Exam 5: Probability and the Normal Curve

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What do z-scores represent?

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Z-scores represent the value of a particular case relative to the mean, measured in units of standard deviation. In other words, a z-score is the number of standard deviations between a case and the mean.

Relative frequency refers to the proportion of times that we observe an event occurring.

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When calculating the probability of pulling one of ten names out of a hat, the denominator is the -------------.

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Drawing a card from a deck, returning it, and then determining the probability of drawing the same card is an example of probability without replacement.

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Use the following table to answer questions: RACE OF RESPONDENT Use the following table to answer questions: RACE OF RESPONDENT    -What is the probability of consecutively selecting two white respondents? -What is the probability of consecutively selecting two white respondents?

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The 2006 GSS asked respondents how many siblings they have. The mean number of siblings was 3.76 with a standard deviation of 3.178. Use this information to answer the following questions: a. What number of siblings falls at the 50th percentile? b.What is the z-score associated with a raw score of 2 siblings? c.What is the z-score associated with a raw score of 6 siblings? d.What is the probability of selecting arespondent with more than 10 siblings? e.What is the probability of selecting eithera respondent with 2 or fewer siblings, or arespondent with more than 5? f.What is the probability of a respondent having between 2 and 5 siblings?

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Use the following table to answer questions: RACE OF RESPONDENT Use the following table to answer questions: RACE OF RESPONDENT    -What is the probability of selecting a respondent who is black? -What is the probability of selecting a respondent who is black?

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Use the following table to answer questions: RACE OF RESPONDENT Use the following table to answer questions: RACE OF RESPONDENT    -What is the probability of selecting a respondent who is white? -What is the probability of selecting a respondent who is white?

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Determining the probability in question 4 utilizes which of the following?

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Suppose a hat contains slips of paper numbered 1-10. After selecting and setting aside numbers "4" and "7," what is the probability of pulling a "5" on your next attempt?

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Use the following table to answer questions: RACE OF RESPONDENT Use the following table to answer questions: RACE OF RESPONDENT    -What is the probability of selecting a respondent identifying as either white or other? -What is the probability of selecting a respondent identifying as either white or other?

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If a hat contains slips of paper numbered 1-10, what is the probability of pulling a "5" on your first attempt?

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When flipping a coin twice the second flip is not influenced by the first. What is this an example of?

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To determine the probability of pulling one of ten names out of a hat, we must divide the number of attempts by -----------.

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A z-score of -1.5 is associated with a higher probability of an event occurring than a z-score of 1.2.

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Suppose a statistics class has a distribution of grades with a mean of 70 and standard deviation of 15. Use this information to answer the following questions. a. What score is at the 75th percentile? b. What is the z-score associated with a raw score of 60? c.What is the z-score associated with a raw score of 70? d.What is the probability of scoring a 90 or higher in this class? e.What is the probability of achieving agrade between 60 and 80 in this class? f.What is the probability of scoring a 50 or higher? g.What score is at the 40th percentile?

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Suppose we have data on employees who earn an average wage of $22.00 per hour. If the standard deviation of wages is $4.00 per hour, what percentage of workers earn between $19.00 and $25.00?

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On a standard, six-sided die, what is the probability of rolling a "2" or "5" on the first roll and a "6" on the second?

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If a statistics class has a distribution of grades with a mean of 70 and standard deviation of 15, what is the probability of a student scoring between a 70 and 90?

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On a standard, six-sided die, what is the probability of rolling a "2," "5," or "6"?

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