voters registered voters n Virginia in Virginia in Virginuad
     voters registered voters n Virginia in Virginia in Virginuadid not vote 62. What is the probability that a voter chosen at random did not vote for a Republican representative in the 2010 election? (Source Federal Election Commission) Level of Education About About 34 44.763,08S 42.371,063 35 30 voted voted for 25 23 Republican another party o 20 15 10 Using a Bar Graph to Find Probabilities In Exercises 63-66, use the bar graph at the left, which shows the highest level of education received by employees of a company. Find the probability that the highest level of education for an employee chosen at random is 4 2 an associate\'s degree. 63. a doctorate. 65. a master\'s degree. 67. Unusual Events Can any of the events in Exercises 37-40 be considered Highest level of education 66. a high school diploma. FIGURE FOR EXERCISES 63-66 unusual? Explain. 68. Unusual Events Can any of the events in Exercises 63-66 be considered unusual? Explain.  
  
  Solution
63.
There are 2+25+34+23+4+2 = 90 samples here.
Only 3 of them are doctorate.
Hence,
P(doctorate) = 3/90 = 1/30 or 0.033333333 [ANSWER]
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68.
Some consider any probability less than 0.05 to be unusual.
here, P(doctorate) = 3/90 = 0.0333333 and P(high school) = 4/90 = 0.0444444. Hence, they can be considered unusual. [ANSWER: The events \"doctorate\" and \"high school diploma\" are unusual events.]
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Hi! For problem 67, please resubmit this problem together with problems 37-40. Please indicate which parts are not yet solved when you submit. That way we can continue helping you! Thanks!

