Answer:
18.7%
Step-by-step explanation:
This is a case of binomial distribution. The formula is as follows:
P = 8C4 * (p ^ x) * [(1-p) ^ (n-x)]
Now, we have to p = 0.35, n = 8 and x = 4.
8C4, means combinations of 8 in 4, the combination formula is:
nCx = n! / [x! * (n-x)!]
Replacing
8C4 = 8! / [4! * (8-4)!] = 8! / (4! * 4!) = 70
Now we can replace all values in the main formula:
P = 70 * (0.35 ^ 4) * [(1-0.35)] ^ (8-4)
P = 70 * (0.35 ^ 4) * (0.65 ^ 4) = 0.187
Therefore, there is an 18.7% is the probability that exactly 4 of them favor the new building project
