Can someone answer the question in chap 8 for the book
Mathematical Statistics and Data Analysis by Rice? the question is
5.

I need help with b and c. the question is Suppose that X is a
discrete random variable with P(X=1) = theta and P(X=2) = 1-theta.
3 indepedent observations of X are made x1 = 1, x2=2, x3=2

b) what is he likelihood function?

c) what is the maximum likelihood estimate of theta

thanks