4.) Suppose the amount of a popular sport drink in bottles leaving the filling machine has a normal distribution with mean 101.5 milliliters (mL) and standard deviation 1.6.If 46 bottles are randomly selected, find the probability that the mean content is

1. Less than 102.1 mL. (Draw the bell curve)

Between 99 mL and 102.1 mL

5.) Determine the minimum sample size required when you want to be 99% confident that the sample mean is within two units of the population mean and standard deviation. assume the population is normally distributed