Fourteen jurors are randomly selected from a population of 4 million residents. Of these 4 million​ residents, it is known that 47​% are of a minority race. Of the 14 jurors​ selected, 2 are minorities. ​(a) What proportion of the jury described is from a minority​ race? ​(b) If 14 jurors are randomly selected from a population where 47​% are​ minorities, what is the probability that 2 or fewer jurors will be​ minorities? ​(c) What might the lawyer of a defendant from this minority race​ argue?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CT: Chapter Test
Problem 30CT: In a batch of 20 tires, 2 are known to be defective. If 4 tires are chosen at random, find the...
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Fourteen jurors are randomly selected from a population of 4 million residents. Of these 4 million​ residents, it is known that 47​% are of a minority race. Of the 14 jurors​ selected, 2 are minorities.
​(a) What proportion of the jury described is from a minority​ race?
​(b) If 14 jurors are randomly selected from a population where 47​% are​ minorities, what is the probability that 2 or fewer jurors will be​ minorities?
​(c) What might the lawyer of a defendant from this minority race​ argue?
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