e from a population that you know to be 40% Hispanic. a. How many jurors would you expect to be Hispanic?  b. The select process produces a jury with 1 Hispanic individuals What proportion of the jury is Hispanic? (Enter your answer as a decimal, rounded to four decimal places)  c. Use the binomial distribution and find the probability that 1 or fewer jurors would be Hispanic.

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Suppose you are a lawyer representing a Hispanic individual in a criminal trial. Twelve jurors are randomly selected by the state from a population that you know to be 40% Hispanic.

a. How many jurors would you expect to be Hispanic? 

b. The select process produces a jury with 1 Hispanic individuals What proportion of the jury is Hispanic? (Enter your answer as a decimal, rounded to four decimal places) 

c. Use the binomial distribution and find the probability that 1 or fewer jurors would be Hispanic. 

Expert Solution
Step 1 (a)

Consider X be the  number of jurors who are hispanic. 

X follow binomial distribution with n = 12 and p = 0.40.

The number of  jurors that one can expect to be Hispanic will be:

E(X)=np       =12×0.40       =4.8

 

Approximately 4.8 jurors are expected to be hispanic.

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