Final answer:
To find the probability that at least 35 out of 75 babies born will be girls, you can use the binomial distribution formula. The probability of getting at least 35 girls is approximately 24.4%.
Step-by-step explanation:
To find the probability that at least 35 out of 75 babies born will be girls, we can use the binomial distribution formula. The probability of getting exactly k girls out of n babies born, when the probability of a baby being a girl is p, is given by:
P(X = k) = nCk * p^k * (1-p)^(n-k)
In this case, n = 75, k = 35, and p = 0.5 (assuming boys and girls are equally probable). To find the probability of at least 35 girls, we need to sum the probabilities for getting 35, 36, 37, ..., up to 75 girls. You can use a calculator or software to calculate this sum, or you can use a binomial calculator online.
The probability of getting at least 35 girls out of 75 babies born is approximately 24.4%.