Final answer:
The probability that at least 33 out of 60 lambs born on Baabaa farm will be male is approximately 73.6%.
Step-by-step explanation:
To find the probability that at least 33 of the 60 lambs born on Baabaa farm will be male, we can use the binomial probability formula. The formula is P(X ≥ k) = 1 - P(X ≤ k-1), where X is the number of successes, k is the minimum number of successes we want to find, and P(X ≤ k-1) is the cumulative probability of having less than or equal to k-1 successes.
In this case, X follows a binomial distribution with n = 60 (number of trials) and p = 0.5 (probability of success for each trial, assuming a 50-50 chance of a lamb being male or female). We want to find P(X ≥ 33).
We can use a calculator or statistical software to find this probability. In this case, the probability is approximately 0.736, which is equivalent to 73.6%.