According to a recent article the average number of babies born with significant hearing loss (deafness) is approximately four per 1,000 babies in a healthy baby nursery. The number climbs to an average of 30 per 1,000 babies in an intensive care nursery.
Suppose that 1,000 babies from healthy baby nurseries were randomly surveyed. Find the probability that exactly four babies were born deaf. (Round your answer to four decimal places.)