1) The Old State Winery in State College contracts out its wine bottling needs to the Franklin Bottling Company (FBC) in Port Matilda, PA

1) The Old State Winery in State College contracts out its wine bottling needs to the Franklin Bottling Company (FBC) in Port Matilda, PA. FBC is contracted to fill 750mL wine bottles, but the actual amount of wine in each bottle tends to vary slightly. Specifically, the average fill is 750mL, and the standard deviation of each fill is 10mL. (It's assumed that the fill level is normally distributed.)
a. If Old State Winery measures the amount of wine in a randomly selected bottle filled by FBC, what is the probability that the bottle will contain less than 735mL of wine? Please show work in the Excel Spreadsheet.
b. Old State Winery is concerned that FBC might be bottling more wine in each bottle than they should. Suppose Old State Winery measures the amount of wine in 45 randomly selected bottles filled by FBC.