Let X1, X2, ..., X50 denote the actual fill of 50 randomly selected 2 liter bottles of soda.?

Question

a) If the expected fill of each bottle is 2 liters and the SD is 0.02 liters, calculate P(1.995<=Xbar<=2.005)

b) If the expected fill of each bottle is 1.99 liters rather than 2 liters, so that on average bottles are under filled, but the SD is still 0.02 liters, calculate P(1.995<=Xbar<=2.005)

Answer 1

I thought this was a drink board and not a math board