Let p(t) = −0.0375t² +0.225t be the density function for the shelf life of a brand of banana which lasts up to 4 weeks. Time, t, is measured in weeks and 0 ≤ t ≤ 4.

Find the median shelf life of a banana using p(t). Plot the median on a graph of p(t). Does it look like half the area is to the right of the median and half the area is to the left?