First, find the z-score.
[tex]Z=\frac{x-\mu}{\frac{\sigma}{\sqrt[]{n}}}[/tex]Using the given information, we have
[tex]Z=\frac{2.7-2.35}{\frac{1.27}{\sqrt[]{43}}}\approx1.32[/tex]Then, use a z-table to find the p-value of 0.9147.
At last, subtract this p-value from 1 to find the probability that the sample is greater than 2.7%.
[tex]1-0.9147=0.0853[/tex]Therefore, the probability is 0.0853.