In Exercises 25–28, find the probabilities and answer the questions. In the classic legal case of Whitus v. Georgia , a jury pool of 90 people was supposed to be randomly selected from a population in which 27% were minorities. Among the 90 people selected, 7 were minorities. Find the probability of getting 7 or fewer minorities if the jury pool was randomly selected. Is the result of 7 minorities significantly low? What does the result suggest about the jury selection process?

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Asked Jan 21, 2020
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In Exercises 25–28, find the probabilities and answer the questions. 

In the classic legal case of Whitus v. Georgia , a jury pool of 90 people was supposed to be randomly selected from a population in which 27% were minorities. Among the 90 people selected, 7 were minorities. Find the probability of getting 7 or fewer minorities if the jury pool was randomly selected. Is the result of 7 minorities significantly low? What does the result suggest about the jury selection process?

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Expert Answer

Step 1

Binomial distribution:

Denote x as number of minorities. The variable x follows binomial distribution.

Here, n is 90; p is 0.27; q is 0.73 (=1–0.27).

The binomial distribution formula is as follows:

Statistics homework question answer, step 1, image 1
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Step 2

Probability of getting 7 or fewer minorities if the jury pool was randomly selected:

The probability of getting 7 or f...

Statistics homework question answer, step 2, image 1
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