The heights of 1 year old children are normally distributed with a standard deviation of .75 inches and a mean of 28.3 inches.
a) What percentage of children have a height less than 27.5 inches?
b) What percentage of children have a height between 27.5 and 29.5 inches?
c) Between what 2 heights will approximately 95% of all children's heights fall?
d) What height would a child have to be at the 90th percentile of heights?
e) If the mean remained the same, but the standard deviation increased to 1.5, what percentage of children would have heights less than 27.5 inches?