Question

Asked Oct 19, 2019

127 views

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?

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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