Bonus: show using the definition of expected values for discrete random variables (eq. 5.1) that for a discrete random variable, x, e(g(x)) = ∑g(x) p(x) where g(x) is linear. that is, show the formula is true assuming that g(x) = ax + b. you are showing that a special case of eq. 5.2 is true; therefore, you many not use that formula.

Which of these statements is correct? the system of linear equations 6x - 5y = 8 and 12x - 10y = 16 has no solution. the system of linear equations 7x + 2y = 6 and 14x + 4y = 16 has an infinite number of solutions. the system of linear equations 8x - 3y = 10 and 16x - 6y = 22 has no solution. the system of linear equations 9x + 6y = 14 and 18x + 12y = 26 has an infinite number of solutions.