Final answer:
To find the probability that at least 40 students will do their homework on time, we can use the binomial probability formula.
Step-by-step explanation:
To find the probability that at least 40 students will do their homework on time, we can use the binomial probability formula. Since the probability of each student doing their homework on time is 0.70, and there are 50 students in total, we can calculate the probability of exactly 40, 41, 42, ..., 50 students doing their homework on time.
This can be done using the binomial probability formula:
P(X ≥ k) = P(X = k) + P(X = k+1) + ... + P(X = n)
where X is the number of students doing their homework on time, k is the minimum number of students we want to consider, and n is the total number of students.