Can someone help me out with this problem? Please show all work and be sure it's 100% accurate.
1. After collecting data for six months, the mean value of fill volume of a 2 liter soda bottle is found to be 2010 ML with the standard deviation of 3.77 ML. The distribution is determined to be normal and the valid determine of the population value can be supposed due to the large number of samples. Out of any group of one thousand bottles sampled, how many will be under filled (less than 2 liters)?
If the bottle will overflow if filled to 2021.65 ML, how many, in any group of one thousand bottles will be filled to point of overflowing?
How many, in a group of one thousand bottles will be filled to the volume specifications of 2007.5 ± mL?