Customers at TAB are charged for the amount of salad the take. Sampling suggests that the amount of salad taken is uniformly distributed between 5 ounces and 15 ounces. Let Χ = Salad plate filling weight.

i. Find the probability density function of Χ

ii. What is the probability that a customer will take between 12 and 15 ounces of salad? iii. What is the probability that a customer will take fewer than 5 ounces of salad.

iv. Find Ε ( Χ) and Var ( Χ)