Assume that 12 jurors are randomly selected from a population in which 78% 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
40.001
50.0057
60.0236
70.0717
80.1589
90.2503
100.2663
110.1717
120.0507


Find the probability of exactly 7 Mexican-Americans among 12 jurors.
P(x=7)=\displaystyle {P}{\left({x}={7}\right)}=

Find the probability of 7 or fewer Mexican-Americans among 12 jurors.
P(x7)=\displaystyle {P}{\left({x}\le{7}\right)}=

Does 7 Mexican-Americans among 12 jurors suggest that the selection process discriminates against Mexican-Americans?