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StatisticsQ&A LibraryIn 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?Question

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?

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:

Step 2

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

The probability of getting 7 or f...

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