Answer:
0.27
Step-by-step explanation:
The probability P that exactly two babies were born deaf can be gotten by the binomial distribution as
[tex]P = {n\choose k} \, p^k \,(1-p)^{n-k} [/tex]
where n is the sample size (the number of babies randomly surveyed), k is the number of success, i. e., the baby is deaf; and p is the probability of selecting a deaf baby = 2/1000 = 0.002. Therefore
[tex]P = {1000\choose 2}\, 0.002^2\, (1-0.002)^{1000-2} [/tex]
[tex]P = 0.27[/tex]