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(a) In Whitus v. Georgia (1967), a black defendant was convicted by an all white jury. In…

(a) In Whitus v. Georgia (1967), a black defendant was convicted by an all white jury. In…

(a) In Whitus v. Georgia (1967), a black defendant was convicted by an all white jury. In considering the challenge of this jury, the U.S. Supreme Court concluded, “Assuming that 27% of the list was made up of the names of qualified Negroes, the mathematical probabilty of having seven Negroes on a venire of 90 is 0.000006.” Comment. (b) To complete the level II discussion of part (a), show that even the most probable value of a binomial distribution will have small probability. For example, if n = 90 and p = 0.5, what's the probability of the most probable value?