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The Binomial Model Racial bias in jury selection is a complex situation; this pr

ID: 3340928 • Letter: T

Question

The Binomial Model Racial bias in jury selection is a complex situation; this project oversimolfies the isue so we can explore it with the statistical tools in this chapter. However, i is important t many. Several types of information are needed to determine the truth behind the issue of racial discrimination Suppose that 12 people are chosen at random for ajury from, a large population in which 40% are black an160% white. 6. Argue that the number Hence, the probability that there are x black persons on the jury is of black persons chosen for the jury has (at least approxmately) the binomial distribution with parameters n·12 and p·04. ) . 0112, x) 0.4" 0.612 . x for x = 0.1, where 12, x) is the binomial coefficient 12nd (12- 12,

Explanation / Answer

Question 6:

Here there are 2 conditions which are clearly satisfied and therefore the given probability distribution that is binomial distribution is valid here. The 2 conditions here are given as:

Therefore the PDF is valid here.