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SHOW WORK AND FORMULAS FOR THUMBS UP

Consider a binomial experiment with n = 9 and p = 0.1. a. Compute f(0) (to 4 decimals). f(0) = .3874 b. Compute f(5) (to 4 decimals). f(5) = c. Compute P(x 4) (to 4 decimals). P(x > 4) = e. Compute E(2) (to 1 decimal). E(2) f. Compute Var(x) and o. Var(x) = (to 2 decimals) (to 2 decimals) The budgeting process for a midwestern college resulted in expense forecasts for the coming year (in 9 millions) of $9, 810, 811, 813 and $13. Because the actual expenses are unknown, the following respective probabilities are assigned: 0.29, 0.19, 0.24, 0.1, and 0.18 Round your answers to 2 decimal places. a. Show the probability distribution for the expense forecast. 2 1() 9 10 11 12 13 b. What is the expected value of the expense forecast for the coming year? million c. What is the variance of the expense forecast for the coming year? d. It income projections for the year are estimated at $12 milion, how much profit does the college expect to make? million