Final answer:
To find the probability that a project will be completed before 112 days, you need to know the mean and standard deviation of the project completion time. Using the normal approximation to the binomial distribution, you can calculate the probability by converting the problem into a standard normal distribution.
Step-by-step explanation:
To find the probability that a project will be completed before 112 days, you need to know the mean and standard deviation of the project completion time. Let's assume the mean completion time is μ and the standard deviation is σ. Using the normal approximation to the binomial distribution, you can calculate the probability by converting the problem into a standard normal distribution.
You can use the formula: P(X <= 112) = P((X - μ) / σ <= (112 - μ) / σ), where X is the completion time of the project.
Once you have the z-score, you can use a standard normal distribution table or a calculator to find the probability associated with that z-score.