The mean annual salary for environmental compliance specialists is about $66,000.  A random sample of 35 specialists is selected from this population.  What is the probability that the mean salary of the sample is less than $60,000?  Assume σ=$12,000, and round your answer to 4 decimal places.

Question 2 (essay worth 10 points) (03.02 mc) in δabc shown below, point a is at (0, 0), point b is at (x2, 0), point c is at (x1, y1), point d is at x sub 1 over 2, y sub 1 over 2, and point e is at the quantity of x sub 1 plus x sub 2 over 2, y sub 1 over 2: triangle abc is shown. point d lies on segment ac and point e lies on segment bc. a segment is drawn between points d and e. point a is at the origin. prove that segment de is parallel to segment ab.