Answer:
(a) 0.2824
(b) 0.0002441
Step-by-step explanation:
Assuming that the population is large enough to behave as a binomial distribution (between whites and non-whites), the probability of 12 out of 12 juros being white is:
[tex]P(w=12) = p(w)^{12}[/tex]
Where p(w) is the proportion of the population that is white:
(a) for p = 0.90
[tex]P(w=12) = 0.90^{12}\\P(w=12) =0.2824[/tex]
The probability is 0.2824.
(b) for p = 0.50
[tex]P(w=12) = 0.50^{12}\\P(w=12) =0.0002441[/tex]
The probability is 0.0002441.
