Fourteen jurors are randomly selected from a population of 5 million residents. Of these 5 million residents, it is known that 45% 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 45% 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?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
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Fourteen jurors are randomly selected from a population of 5 million residents. Of these 5 million residents, it is known that 45% 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 45% 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?
(a) The proportion of the jury described that is from a minority race is.
(Round to two decimal places as needed.)
(b) The probability that 2 or fewer out of 14 jurors are minorities, assuming that the proportion of the population that are minorities is 45%, is.
(Round to four decimal places as needed.)
(c) Choose the correct answer below.
O A. The number of minorities on the jury is impossible, given the composition of the population from which it came.
O B. The number of minorities on the jury is unusually high, given the composition of the population from which
came.
OC. The number of minorities on the jury is reasonable, given the composition of the population from which it came.
O D. The number of minorities on the jury is unusually low, given the composition of the population from which it came.
Transcribed Image Text:Fourteen jurors are randomly selected from a population of 5 million residents. Of these 5 million residents, it is known that 45% 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 45% 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? (a) The proportion of the jury described that is from a minority race is. (Round to two decimal places as needed.) (b) The probability that 2 or fewer out of 14 jurors are minorities, assuming that the proportion of the population that are minorities is 45%, is. (Round to four decimal places as needed.) (c) Choose the correct answer below. O A. The number of minorities on the jury is impossible, given the composition of the population from which it came. O B. The number of minorities on the jury is unusually high, given the composition of the population from which came. OC. The number of minorities on the jury is reasonable, given the composition of the population from which it came. O D. The number of minorities on the jury is unusually low, given the composition of the population from which it came.
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