(3) The distribution of a random variable X which has possible values 1 to 4 involves an unknown parameter 0. . P(X = 1) = 0.1 -0 . P(X = 2) = 0.2 -0 . P(X = 3) = 0.3 - 20 . P(X = 4) = 0.4 + 40 Let X1, X2, ..., Xn be independent and identically distributed, each with the same distribu- tion as X described above. Let X be the sample mean, that is, X = (X1 + X2+ ...+ Xn). (a) [2pts] What is the possible range for 0 to make the given distribution reasonable? In other words, what is the range of 0 that makes any given probability be between 0 and 1?