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 3 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 3 or fewer jurors would be Hispanic.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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 3 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 3 or fewer jurors would be Hispanic.

d. Create a graph of the distribution with the area corresponding to the previous answer shaded in.

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