240 CHAPTER 5 Discrete Probability Distributions c. Find the mode. d. Find the range. e. Find the standard deviation. f. Find the variance. g. Use the range rule of thumb to identify the values separating significant values from those that are not significant. h. Based on the result from part (g), do any of the planets have a number of moons that is significantly low or significantly high? Why or why not? i. What is the level of measurement of the data: nominal, ordinal, interval, or ratio? j. Are the data discrete or continuous? 2. Kentucky Pick 4 In the Kentucky Pick 4 lottery game, you can pay $1 for a “straight” bet in which you select four digits with repetition allowed. If you buy only one ticket and win, your prize is $2500. a. If you buy one ticket, what is the probability of winning? b. If you play this game once every day, find the mean number of wins in years with exactly 365 days. c. If you play this game once every day, find the probability of no wins in 365 days. d. Find the expected value for the purchase of one ticket. 3. Tennis Challenge In a recent U.S. Open tennis tournament, there were 945 challenges made by singles players, and 255 of them resulted in referee calls that were overturned. The accompanying table lists the results by gender. Challenge Upheld with Overturned Call Challenge Rejected with No Change Challenges by Men 160 398 Challenges by Women 95 292 a. If 1 of the 945 challenges is randomly selected, what is the probability that it resulted in an overturned call? b. If one of the overturned calls is randomly selected, what is the probability that the challenge was made by a woman? c. If two different challenges are randomly selected without replacement, find the probability that they both resulted in an overturned call. d. If 1 of the 945 challenges is randomly selected, find the probability that it was made by a man or was upheld with an overturned call. e. If one of the challenges is randomly selected, find the probability that it was made by a man, given that the challenge was upheld with an overturned call. 4. Salary Negotiations In a Jobvite survey, 2287 adult workers were randomly selected and asked about salary negotiations. a. 29% of the respondents reported that they negotiated salary at their latest job. What is the number of respondents who reported that they negotiated salary? b. Among those who negotiated salary, 84% received higher pay. How many received higher pay? c. What percentage of the 2287 respondents received higher pay? d. Is the value of 29% given in part (a) a parameter or a statistic?
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