Problem 2:Normal Curve

According to a study by the World Health Organization, 1 year old girls' heights and weights are normally distributed.The information for each is below

https://www.who.int/childgrowth/standards/Technical_report.pdf

HEIGHT of 1-year-old girls is normally distributed

Mean height:59 centimeters Standard deviation height:2.1 centimeters

WEIGHTS of 1-year-old girls are normally distributed:

Mean weight:5.7 kgStandard deviation of weight: 0.13 kg

a)Use this information to determine the range of heights and weights that would be considered common for a 1-year-old girl.For full credit, clearly state your answer and provide statistical reasons that are comprehensive in using the Empirical Rule and Z scores for normal curves

b)A 1-year old girl visits the doctor. Her height is 62 centimeters and her weight is 5.4 kilograms. Is this girl common or rare?For full credit, clearly state your answer and provide statistical reasons that are comprehensive in using the Empirical Rule and Z scores for normal curves.

(please show work)