Final answer:
The probability that exactly two babies out of 1,000 in a healthy baby nursery are born deaf can be calculated using the binomial probability formula, accounting for the known likelihood of such an occurrence.
Step-by-step explanation:
To calculate the probability that exactly two newborns out of 1,000 in a healthy baby nursery have severe to profound hearing loss, we can use the binomial probability formula. Given that the likelihood of a single baby being born deaf in a healthy baby nursery is 2 per 1,000 or 0.002, we need to plug in these values:
P(X = 2) = (1000 choose 2) * (0.002)^2 * (0.998)^(1000 - 2)
Where 'P(X = 2)' represents the probability that exactly two babies are born deaf, '(1000 choose 2)' is the number of ways to choose 2 babies from 1000, '0.002' is the probability of a baby being born deaf, and '0.998' is the probability of a baby not being born deaf.