Question

Find M.P. test of size 0.4 for testing H0:p(x)=p0(x) vs H1:p(x)=p1(x) based on single observation
x : 0 1 2 3 4 5
p0(x) : 1/6 1/6 1/6 1/6 1/6 1/6
p1(x) : 0.5/6 0.5/6 1.5/6 1.5/6 1.2/6 0.8/6
Also find power of test