Please help, thanks!

Half liter soda bottles are filled with cola at a bottling plant. The equipment used to fill the bottles is not capable of putting exactly 500 mL in each bottle, so it is adjusted such that the amount of cola placed in the bottles follows a normal distribution with a mean of 502 mL and a standard deviation of 1.8 mL. Answer the following questions, including a sketch of the normal distribution and appropriate random variable P(X) notation for each one. a. What proportion of bottles will have more than 502 mL of cola in them? b. What proportion of bottles will have between 500 and 502 mL in them? c. What proportion of bottles are under-filled (hold less than 500 mL)? d. What percentile corresponds to 503 mL? e. What percentile corresponds to 505 mL