Fourteen jurors are randomly selected from a population of 5 million residents. Of these 5 million residents, it is known that \( 48 \% \) are of a minority race. Of the 14 jurors selected; 2 are minorities. (a) What proportion of the jury described is from a minority race? (b) If 14 jurors are randomly selected from a population where \( 48 \% \) are minorities, what is the probability that 2 or fewer jurors 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.)

The proportion of the jury from a minority race can be calculated by dividing the number of minority jurors by the total number of jurors. With 2 minority jurors out of 14, the proportion is \( \frac{2}{14} = 0.14 \). Thus, the proportion of the jury that is from a minority race is approximately \( 0.14 \) or \( 14\% \). To find the probability that 2 or fewer jurors are minorities when selecting from a population where \( 48\% \) are minorities, we can use the binomial probability formula. Here, \( n = 14 \), \( p = 0.48 \), and we're interested in calculating \( P(X \leq 2) \). This involves summing the probabilities of getting 0, 1, or 2 minority jurors using the binomial distribution. For accurate results, this calculation typically requires a calculator or statistical software. A lawyer representing a defendant from this minority race might argue that the selection process for jurors does not adequately reflect the diversity of the community and that having only 2 minority jurors in a jury of 14 may lead to biases against the defendant. This could undermine the fairness of the trial, as a jury lacking sufficient representation from the defendant's racial background might not fully understand the nuances of the case or the impact of racial stereotypes.