Question

2. If a certain disease is found in 1 out of 12,000 people, what is the probability that there will be at least one person with that disease in a town of 24,000 people

Answer 1

0.865

Explanation:

Given that:

Disease is found in 1 out of 12000 people ; probability that disease is found in atleast one out of 24000 people

Using the binomial probability formula :

P(x = x) = nCx * p^x * (1 - p)^(n-x)

p = 1/ 12000 = 0.0000833333

n = 24000

P(x ≥ 1) = p(x = 1) + p(x =2) + ... + p(x = 24000)

In other to save computation time, we can employ the use of an online binomial probability calculator or a Ti-89 calculator :

The result is thus : 0.86467588659

P(x ≥ 1) = 0.865