Answer:
0.9648
Step-by-step explanation:
Given that:
p = 0.2
Sample size = Number of trials (n) = 15
Probability that atleast one person is infected.
This can be solved using the binomial probability function :
P(x = x) = nCx * p^x * (1 - p)^(n-x)
P(x ≥ 1) = p(1) + p(2) + p(3) +... + p(15)
The sum of the individual probabilities of p(1) up to p(15)
Therefore, to save computation time, we can use the binomial probability calculator :
P(x ≥ 1) = 0.9648
