The weights of newborn baby boys in the population of a country follow a normal distribution with a mean of 105.3 ounces, and a standard deviation of 10.2 ounces. (Replace the "X" with the last digit of your student ID number)
a. Calculate the probability of a baby boy weighing more than 108.X ounces when born.
b. Calculate the probability of a baby boy weighing less than 103.X ounces.
c. Calculate the probability of a baby boy weighing between 103.X and 108.X ounces.
d. Calculate the 30th and 70th percentiles of male birth weight.
e. If 10 newborns are sampled from this populations what is the probability that the sample average will be within 5% of the population mean?