The juror pool for an upcoming trial contains 100,000 individuals in the populat

Question

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

0.340.34. A jury of size 1212 is selected at random from the population list of available jurors. Let X equals=the number of Hispanics selected to be jurors for this jury.

a. Explain why this scenario would seem to satisfy the three conditions needed to use the binomial distribution. Choose the correct answer below.

A. They are satisfied because 1) the data are binary (Hispanic or not), 2) the probability of success is always 0.660.66 and 3) the trials are independent (the first selection does not affect the next; unless than<10% of population size).

B.They are satisfied because 1) the data are binary (Hispanic or not), 2) the probability of success is always

0.340.34and 3) the trials are independent (the first selection does not affect the next;nless than<10% of population size).

C. They are satisfied because 1) the data are binary (picked or not), 2) the probability of success is always 0.340.34

and 3) the trials are independent (the first selection does not affect the next;nless than<10% of population size).

Explanation / Answer

we use binomial since X is satisfying three conditions

They are satisfied because

1) the data are binary (Hispanic or not),

2) the probability of success is always 0.340

and

3) The trials are independent (the first selection does not affect the next;nless than<10% of population size).

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