Question

Fourteen jurors are randomly selected from a population of 3 milion residents of these 3 million residents, it is known that 41% are of a minority race. Of the 14 jurors selected. 2 are minority

(a) What proportion of the jury described is from a minority race? 

(b) If 14 jurors are randomly selected from a population where 41% are minories, what is the probabilty that 2 or fower jutors will be minorities? 

c) What might the lawyer of a defendant from this minority race argue?

 (a) The proportion of the jury described that is from a minority race is _______  (Round to two decimal places as needed) 

(b) The probability that 2 or fewer out of 14 jurors are minorities, assuming that the proportion of the population that are minorities 41% is _______  (Round to four decimal places as needed) 

(c) Choose the correct answer below. 

A. The number of minorities on the jury is impossible, given the composition of the population from which can 

B. The number of minorities on the jury is reasonable, given the composition of the population from which it can 

C. The number of minorities on the is unusually low given the composition of the population from which it came 

D. The number of minorities on the jury is usually highen the composition of the population from which it can

Answer 1

Ang (a) proportion of jury described is from minority = § = 10:14 (6) Binomial distribution with P= '41, n=14 PC * <2) P(X=0) + P(X=1) + P(x=2) 1466.41 1.59)4 + 146, 141.593 + 146.41.592 = 0·0339 (e) C. The number of minorities on the jury is the jury is unusually low, given the composition of the population from which it came