# Twelve jurors are randomly selected from a population of 5million residents. Of these 5 million​ residents, it is known that 49​% are of a minority race. Of the 12jurors​ selected, 2 are minorities.​(a) What proportion of the jury described is from a minority​ race?​(b) If 12 jurors are randomly selected from a population where 49% 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?

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Twelve jurors are randomly selected from a population of
5million residents. Of these
5 million​ residents, it is known that
49​% are of a minority race. Of the
12jurors​ selected, 2 are minorities.

​(a) What proportion of the jury described is from a minority​ race?
​(b) If 12 jurors are randomly selected from a population where
49% 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?

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Step 1

a).

The proportion of the jury described is from a minority race is 2/12 = 0.17.

b).

The number of residents who belongs to minority race out of 5 million residents is,

Step 2

Let the random variable X, the number of minority people selected in the jury. Then,

Step 3

Therefore, the random variable X, number of minority people selected in the jury follows binomial distribution with p = 0.49 and n = 12 (given).

The probability that 2 or fewer ...

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