Thanks for the help

Answer the following questions. Show all your work. When you use the calculator mention its use. 1. The following is a sample of unemployment rates (in percentage points) in the US sampled from the period 1990 2004; 4.2,4.7,5.4,5.8,4.9 a) Compute the sample mean, f, and the sample standard deviation, 3, using the formulas dening these quantities, not the STAT menu in your calculator. Round your answers to one decimal place. (You can check your answers with STAT menu in calculator!) b) In what range does the empirical rule predict that approximately 95% of the unemployment rates will fall? c) Determine the actual percentage of unemployment rates that fall in the range predicted in part b). 2. Calculate the mean (or expected value), 31, and the standard deviation, 0' of X, if the probability distri- bution for the random variable X is given below. Use the defining formulas and round your answers to two decimal places. You are allowed toonly check your answers with the calculator! x 0 1 2 3 P(X=x) 0.2 0.3 0.1 0.4