Homework Answers
n = 12
P(not guilty), p = 2/3
P(guilty), q = 1 -2/3 = 1/3
P(X) = nCx px qn-x
1. Consider that there are 12 members in a Jury
P(unanimous verdict of Guilty) =(1/3)12
= 1.88x10-6
P(unanimous verdict of not guilty) = (2/3)12
= 0.0077
2. P(a very quick verdict of not guilty) = P(at least 7 Jury members say not guilty)
= 12C7x(2/3)7 x (1/3)5 + 12C8x(2/3)8 x (1/3)4 + 12C9 x (2/3)9 x (1/3)3 + 12C10 x (2/3)10 x (1/3)2 + 12x(2/3)11 x (1/3) + 0.0077
= 0.1908 + 0.2384 + 0.2120 + 0.1272 + 0.0462 + 0.0077
= 0.8223
So, there is high probability that quick verdict will be not guilty
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