Final answer:
To find the probability that a project will take 224 days or more to complete, we need to know the distribution of project completion times. We can estimate the probability using the properties of the normal distribution.
Step-by-step explanation:
To find the probability that a project will take 224 days or more to complete, we need to know the distribution of project completion times.
Let's assume that the distribution follows a normal distribution with a mean of μ and a standard deviation of σ.
From the information provided, we don't know the specific values of μ and σ, so we cannot calculate the exact probability. However, we can use the properties of the normal distribution to estimate the probability.
- Convert the number of days to a z-score using the formula: z = (x - μ) / σ, where x is the number of days.
- Look up the z-score in the z-table to find the corresponding percentile.
- Calculate the probability by subtracting the percentile from 1.
For example, if the z-score is 1.5, the percentile is 0.9332, and the probability is 1 - 0.9332 = 0.0668 or 6.68%.