2. (20 points) A 12-in. full-depth asphalt pavement is placed on a subgrade with an effective roadbed resilient modulus of 10,000 psi. Assuming a layer coefficient of 0.44 for the hot mix asphalt, a drop in PSI from 4.2 to 2.5, an overall standard deviation of 0.5, and a predicted ESAL of 3 X 10, determine the reliability of the design by using the AASHTO equation, and check the result by using the AASHTO design chart.