A bartender at a local establishment fills pint glasses up to a mean of μ = 15.7 ounces (to prevent overflow) with a standard deviation of σ = 1 ounce. The amounts of beverage in the bartender-filled glasses follow a normal distribution. Suppose the bartender will have to fill n = 10 glasses within the next half hour.

a. What is the expected value of the mean amount of beverage in those 10 glasses?

b. What is the variance of the mean amount of beverage in those 10 glasses?