6.46 Jury duty The juror pool for the upcoming murder trial of a celebrity actor contains the names of 100,000 individ TRY uals in the population who may be called for jury duty The proportion of the available jurors on the population list who are Hispanic is 0.40. 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. 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 random? Explain. р.

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6.46 Jury duty The juror pool for the upcoming murder trial
of a celebrity actor contains the names of 100,000 individ
TRY
uals in the population who may be called for jury duty
The proportion of the available jurors on the population
list who are Hispanic is 0.40. 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.
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
random? Explain.
р.
Transcribed Image Text:6.46 Jury duty The juror pool for the upcoming murder trial of a celebrity actor contains the names of 100,000 individ TRY uals in the population who may be called for jury duty The proportion of the available jurors on the population list who are Hispanic is 0.40. 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. 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 random? Explain. р.
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