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6.46 Jury duty The juror pool for the upcoming murder ti. of a celebrity actor contains the names of 100,000 individ- TRY uals in the population who may be called for jury duty proportion of the available jurors on the population list who are Hispanic is 0.40. A jury of size 12 is selected at random from the population list of available jurors. Let X = the number of Hispanics selected to be jurors for this jury. The a. Is it reasonable to assume that X has a binomial dis- tribution? If so, identify the values of n and p. If not, explain why not. b. Find the probability that no Hispanic is selected. c. If no Hispanic is selected out of a sample of size 12, does this cast doubt on whether the sampling was truly fo It ra random? Explain. F fo

6.46 Jury duty The juror pool for the upcoming murder ti. of a celebrity actor contains the names of 100,000 individ- TRY uals in the population who may be called for jury duty proportion of the available jurors on the population list who are Hispanic is 0.40. A jury of size 12 is selected at random from the population list of available jurors. Let X = the number of Hispanics selected to be jurors for this jury. The a. Is it reasonable to assume that X has a binomial dis- tribution? If so, identify the values of n and p. If not, explain why not. b. Find the probability that no Hispanic is selected. c. If no Hispanic is selected out of a sample of size 12, does this cast doubt on whether the sampling was truly fo It ra random? Explain. F fo

Algebra & Trigonometry with Analytic Geometry
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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6.46 Jury duty The juror pool for the upcoming murder ti. of a celebrity actor contains the names of 100,000 individ- TRY uals in the population who may be called for jury duty proportion of the available jurors on the population list who are Hispanic is 0.40. A jury of size 12 is selected at random from the population list of available jurors. Let X = the number of Hispanics selected to be jurors for this jury. The a. Is it reasonable to assume that X has a binomial dis- tribution? If so, identify the values of n and p. If not, explain why not. b. Find the probability that no Hispanic is selected. c. If no Hispanic is selected out of a sample of size 12, does this cast doubt on whether the sampling was truly fo It ra random? Explain. F fo
Transcribed Image Text:6.46 Jury duty The juror pool for the upcoming murder ti. of a celebrity actor contains the names of 100,000 individ- TRY uals in the population who may be called for jury duty proportion of the available jurors on the population list who are Hispanic is 0.40. A jury of size 12 is selected at random from the population list of available jurors. Let X = the number of Hispanics selected to be jurors for this jury. The a. Is it reasonable to assume that X has a binomial dis- tribution? If so, identify the values of n and p. If not, explain why not. b. Find the probability that no Hispanic is selected. c. If no Hispanic is selected out of a sample of size 12, does this cast doubt on whether the sampling was truly fo It ra random? Explain. F fo
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