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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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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