0 Question 'I 1 v Suppose that ages of players in a soccer league are uniformly distributed from 19 to 30 years old. In symbols, we say that the random variable X m U(a, b) where in this case a = 19 and b = 30. a. What is the expected age of a player in this team? a-lb 2 . Expected value is the mean, p5 = Expected age {in years] is b. What is the standard deviation in ages? Round to one decimal. I' 2 . (b - a) The formula 15 0' l/T Standard deviation {in years] is c. Find the probability that a player is less than 26 years of age. Round to three decimals. 1 This would just be the area of a rectangle with height h = and width to = 26 19. P(X 6; 26) =P(19 c: X 23), and then multiply by the number of players in the sample. The expected number of players is