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).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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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).
%23
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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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