The fill amount of soft drink bottle is normally distributed with a mean of 2.1 liters and a standard deviation of 0.1 L . Bottles that contain less than 95% of the listed net content (2 L in this case) will be rejected by manufacturer quality check. Bottles that contain more than 120 percent of listed net content may cause excess spillage on opening

Write in detail with formulae and calculation the following

1) What is the proportion of soft drink bottles that will spill out of the total bottles manufactured?

2)What proportion of bottles will be rejected by the manufacturers quality check

3) What proportion of bottles will contain exactly 2 L?