The juror pool for an upcoming trial contains 100,000 individuals in the population who may be called for jury duty. The proportion of the available jurors on the population list who are Hispanic is 0.44. A jury of size 8 is selected at random from the population list of available jurors. Let X = the number of Hispanics selected to be jurors for this jury. Explain why this scenario would seem to satisfy the three conditions needed to use the binomial distribution. They are satisfied because 1) the data are binary (Hispanic or not), 2) the probability of success is always 0.56 and 3) the trials are independent (the first selection does not affect the next; n < 10% of population size). O They are satisfied because 1) the data are binary (Hispanic or not), 2) the probability of success is always 0.44 and 3) the trials are independent (the first selection does not affect the next; n < 10% of population size). O They are satisfied because 1) the data are binary (picked or not), 2) the probability of success is always 0.44 and 3) the trials are independent (the first selection does not affect the next; n< 10% of population size).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 25PPS
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The juror pool for an upcoming trial contains 100,000 individuals in the population who may be called for jury duty. The
proportion of the available jurors on the population list who are Hispanic is 0.44. A jury of size 8 is selected at random from the
population list of available jurors. Let X = the number of Hispanics selected to be jurors for this jury.
Explain why this scenario would seem to satisfy the three conditions needed to use the binomial distribution.
O They are satisfied because 1) the data are binary (Hispanic or not), 2) the probability of success is always 0.56 and 3) the trials are independent
(the first selection does not affect the next; n < 10% of population size).
O They are satisfied because 1) the data are binary (Hispanic or not), 2) the probability of success is always O.44 and 3) the trials are independent
(the first selection does not affect the next; n < 10% of population size).
O They are satisfied because 1) the data are binary (picked or not), 2) the probability of success is always 0.44 and 3) the trials are independent
(the first selection does not affect the next; n < 10% of population size).
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6
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Transcribed Image Text:The juror pool for an upcoming trial contains 100,000 individuals in the population who may be called for jury duty. The proportion of the available jurors on the population list who are Hispanic is 0.44. A jury of size 8 is selected at random from the population list of available jurors. Let X = the number of Hispanics selected to be jurors for this jury. Explain why this scenario would seem to satisfy the three conditions needed to use the binomial distribution. O They are satisfied because 1) the data are binary (Hispanic or not), 2) the probability of success is always 0.56 and 3) the trials are independent (the first selection does not affect the next; n < 10% of population size). O They are satisfied because 1) the data are binary (Hispanic or not), 2) the probability of success is always O.44 and 3) the trials are independent (the first selection does not affect the next; n < 10% of population size). O They are satisfied because 1) the data are binary (picked or not), 2) the probability of success is always 0.44 and 3) the trials are independent (the first selection does not affect the next; n < 10% of population size). %23 24 & 3 6 W E T 5
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