can you please help me out here to find Type I and Type II errors, when you are given the mass function

[13 marks] Consider a random variable X having probability mass function fx(1)=%forx=l,2,...,k. (This is the discrete uniform distribtion.) A single observation x on this random variable is used to test the null hypothesis k g 3 against the alternative hypothesis It :> 3. The critical region of the test is x 2 3. (a) [3 marks I Determine the type I error probability for this test for k = 1, 2, 3. (b) [4 marks] Determine the type II error probability for this test for k = 4, S, 6, 7, 8. 9, 10. (c) [6 marks] Give a table of values for the power function of this mst for k = l, 2, . . . , 10 and sketch the power function