I need 5.4 answered. Thank you!

5.3 Consider the population described by the probability dis- tribution shown below. x 1 2 2 .3 3. 2 4 .2 5 .1 p(x) The random variable x is observed twice. If these observa- tions are independent, verify that the different samples of size 2 and their probabilities are as shown below. Sample Probability Probability 1,1 1,2 1,3 1,4 1,5 2.1 2, 2 2,3 2,4 2,5 3,1 3,2 3,3 .04 .06 .04 .04 .02 .06 .09 .06 .06 .03 .04 .06 .04 Sample 3,4 3,5 4,1 4,2 4,3 4,4 4, 5 5,1 5,2 5,3 5.4 5.5 .04 .02 .04 .06 .04 .04 .02 .02 .03 .02 .02 .01 a. Find the sampling distribution of the sample mean i. b. Construct a probability histogram for the sampling distribution of x. c. What is the probability that x is 4.5 or larger? d. Would you expect to observe a value of equal to 4.5 or larger? Explain. 5.4 Refer to Exercise 5.3 and find E(x) = p. Then use the sampling distribution of found in Exercise 5.3 to find the expected value of x. Note that E(F) = u. Fu