Answer:
0.1655
Step-by-step explanation:
This is a binomial probability.
THe formula is:
[tex]nCr*p^r*(1-p)^{n-r}[/tex]
Where n is the total number of people
r is how many we want (we want 1/3rd of 18 which is 6, r= 6)
p is probability of success (0.4)
Putting the information, we get:
[tex]nCr*p^r*(1-p)^{n-r}\\=18C6*(0.4)^{6}(0.6)^{12}\\=0.1655[/tex]
Thus, the probability that exactly a third of the buyers would prefer brown is 0.1655
