ANSWER PART 1-5. FOR PART 4, PLEASE REFER TO THE EXAMPLE QUESTION ATTACHED

Section 10 A coin is tossed until a tail occurs and the number of tosses, X, is recorded. The experiment is repeated 256 times and the following data are obtained. 8 or X 1 2 3 4 5 6 more f 136 60 34 12 9 1 3 1 Answer the following questions (Part 1 to Part 5) using this descriptionPart 1 What is the distribution of the random variable X? O Binomial distribution O Uniform distribution O Poisson Distribution O Geometric distributionPart 2 You wish to test whether the observed distribution of X fits the distribution you named above. Are these the correct null and alternative hypotheses to use (True=yes, False=no)? HO: Of = E; for all is H1: Oj * E; for at least one i O True O FalsePart 3 To test the hypothesis at the 0.05 level of significance, that the observed distribution of X fits the distribution you named in Part 1. what critical value would you use?Part 4 To test the hypothesis at the 0.05 level of significance, that the observed distribution of X fits the distribution you named in Part 1, what is the value of the test statistic you found? Hint: You will need to modify the table from the raw data presented above so that no cells have expected values