For 0≤x≤2, a function p is given by p(x)=x2. For 2<x≤5, p is measured experimentally and the data are provided below; p is assumed to be linear between these points.
x: 2 3.5 5
p(x): 4 3 2
Estimate the average value of p on [0,5]. Express your answer to the nearest thousandth.