We use a random variable X to describe the number of new tuberculosis (TB) cases identified in a clinic per month in Ypsilanti City. X has the following distribution: The number of new TB cases, X Probability 0.082 0.205 2 0.257 0.213 0.133 0.067 0.028 0.01 8 0.005 3) (2') Each new TB patient will take 1 dose of medication from the clinic. Suppose a clinic wants to restrict the probability of running out of medication to be smaller than 3% within a month. What is the minimum number of doses of medication a clinic should maintain? 4) (2") A research team planned to visit a random sample of 10 clinics in the city to collect the number of new TB cases last month. What are the expectation and the variance of the sample mean? Show the formula and compute the numeric result