Assume that 12 jurors are randomly selected from a population in which 79% 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
40.0007
50.0044
60.0193
70.0621
80.146
90.2442
100.2756
110.1885
120.0591


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)}=

Assume that any probability less than 5% is convincing enough evidence to suspect discrimination. Does 7 Mexican-Americans among 12 jurors suggest that the selection process discriminates against Mexican-Americans?