Answer:
0.500 is the required probability.
Explanation:
We are given the following information in the question:
Mean, μ = 12,749
Standard Deviation, σ = 1.5
Let X be the distribution of sample means.
Formula:

Standard error due to sampling =

We have to evaluate:
P(x less than 12,749 or greater than 12,752)

Now,

P(x less than 12,749 or greater than 12,752)

Thus, 0.500 is the required probability.