(a) What (bllr 12 jurors ae random y selected from a population were 48% are rno

Question

(a) What (bllr 12 jurors ae random y selected from a population were 48% are rnortes, what is the probablity that 2 ortewerjurors wil be mnones? (c) What might the lawyer of a defendant from this minority race argue? of the jury described is from a minority race? (a) The proportion of the jury described that is from a mnority race is Round to two decimal places as needed.) (D) The probabity that 2 or fewer out of 12 jurors are minorites assuming that the proportion of the population that are minorities is 48% is[ Round to four decimal places as needed

Explanation / Answer

a) Proportion of Jury from minority = 2/12

= 0.1667

b) Binomial distribution: P(x) = nCx px qn-x

p = 0.48

q = 1 - p = 0.52

n = 12

P(2 or fewer minorities) = P(0) + P(1) + P(2)

= 0.5212 + 12x0.48x0.5211 + 12C2x0.482x0.5210

= 0.0004 + 0.0043 + 0.0220

= 0.0267

c) B. The number of minorities on the jury is unusually low, given the composition of the population from which it came.

(Unusually low because the probability is less than 0.05)

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