You must decide which of two discrete distributions a randomvariable X has. We will call the distributions p0and p1. Here are the probabilities they assign tothe values x of X:
x 0 1 2 3 4 5 6
p0 .1 .1 .1 .1 .2 .1 .3
p1 .3 .2 .1 .1 .1 .1 .1
You have a single observation on X and wish to test
H0: p0 is correct
Ha: p1 is correct
One possible decision procedure is to rejectH0 only if X=0 or X=1.
a) Find the probability of a Type I error, that is theprobability that you reject H0 when p0 is the correct distribution.
b) Find the probability of a Type II error.