jurors are randomly selected from a population of 3million residents. Of these 3million residents, it is known that 47%are of a minority race. Of the 13jurors selected, 2are minorities.(a) What proportion of the jury described is from a minority race?(b) If 13jurors are randomly selected from a population where 47%are minorities, what is the probability that 2or fewer jurors will be minorities?(c) What might the lawyer of a defendant from this minority race argue?

a) p=0.154

b) P(X≤2)=0.019

c) He can argue that the proportion of minority jurors is not representative of the proportion of that minority in the population.

Step-by-step explanation:

a) The proportion can be calculated dividing the number of jurors that are from the minority race by the total number of jurors:

b) We can model this with a binomial random variable, with sample size n=13 and probability of success p=0.47.

The probability of k minority jurors in the sample is:

We have to calculate the probability that 2 or less minority jurors. This can be calculated as:

The probability that 2 or less minority jurors is 0.019.