Assume that 12 jurors are randomly selected from a population in which 80% of the people are Mexican-Americans. Refer to the probability distribution table below and find the indicated probabilities.
x\displaystyle {x}P(x)\displaystyle {P}{\left({x}\right)}
00+
10+
20+
30.0001
40.0005
50.0033
60.0155
70.0532
80.1329
90.2362
100.2835
110.2062
120.0687


Find the probability of exactly 8 Mexican-Americans among 12 jurors.
P(x=8)=\displaystyle {P}{\left({x}={8}\right)}=

Find the probability of 8 or fewer Mexican-Americans among 12 jurors.
P(x8)=\displaystyle {P}{\left({x}\le{8}\right)}=

Does 8 Mexican-Americans among 12 jurors suggest that the selection process discriminates against Mexican-Americans?